100,000,000
Appearance
100000000 | |
---|---|
Cardinal | One hundred million |
Ordinal | 100000000th (one hundred millionth) |
Factorization | 28 × 58 |
Greek numeral | |
Roman numeral | C |
Binary | 1011111010111100001000000002 |
Ternary | 202220111120122013 |
Senary | 135312025446 |
Octal | 5753604008 |
Duodecimal | 295A645412 |
Hexadecimal | 5F5E10016 |
100,000,000 (one hundred million) is the natural number following 99,999,999 and preceding 100,000,001.
In scientific notation, it is written as 108.
East Asian languages treat 100,000,000 as a counting unit, significant as the square of a myriad, also a counting unit. In Chinese, Korean, and Japanese respectively it is yi (simplified Chinese: 亿; traditional Chinese: 億; pinyin: yì) (or Chinese: 萬萬; pinyin: wànwàn in ancient texts), eok (억/億) and oku (億). These languages do not have single words for a thousand to the second, third, fifth powers, etc.
100,000,000 is also the fourth power of 100 and also the square of 10000.
Selected 9-digit numbers (100,000,001–999,999,999)
[edit]100,000,001 to 199,999,999
[edit]- 100,000,007 = smallest nine digit prime[1]
- 100,005,153 = smallest triangular number with 9 digits and the 14,142nd triangular number
- 100,020,001 = 100012, palindromic square
- 100,544,625 = 4653, the smallest 9-digit cube
- 102,030,201 = 101012, palindromic square
- 102,334,155 = Fibonacci number
- 102,400,000 = 405
- 104,060,401 = 102012 = 1014, palindromic square
- 104,636,890 = number of trees with 25 unlabeled nodes[2]
- 105,413,504 = 147
- 107,890,609 = Wedderburn-Etherington number[3]
- 111,111,111 = repunit, square root of 12345678987654321
- 111,111,113 = Chen prime, Sophie Germain prime, cousin prime.
- 113,379,904 = 106482 = 4843 = 226
- 115,856,201 = 415
- 119,481,296 = logarithmic number[4]
- 120,528,657 = number of centered hydrocarbons with 27 carbon atoms[5]
- 121,242,121 = 110112, palindromic square
- 122,522,400 = least number such that , where = sum of divisors of m[6]
- 123,454,321 = 111112, palindromic square
- 123,456,789 = smallest zeroless base 10 pandigital number
- 125,686,521 = 112112, palindromic square
- 126,390,032 = number of 34-bead necklaces (turning over is allowed) where complements are equivalent[7]
- 126,491,971 = Leonardo prime[8]
- 129,140,163 = 317
- 129,145,076 = Leyland number[9] using 3 & 17 (317 + 173)
- 129,644,790 = Catalan number[10]
- 130,150,588 = number of 33-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[11]
- 130,691,232 = 425
- 134,217,728 = 5123 = 89 = 227
- 134,218,457 = Leyland number using 2 & 27 (227 + 272)
- 134,219,796 = number of 32-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple 32-stage cycling shift register; also number of binary irreducible polynomials whose degree divides 32[12]
- 136,048,896 = 116642 = 1084
- 136,279,841 = The largest known Mersenne prime exponent, as of October 2024
- 139,854,276 = 118262, the smallest zeroless base 10 pandigital square
- 142,547,559 = Motzkin number[13]
- 147,008,443 = 435
- 148,035,889 = 121672 = 5293 = 236
- 157,115,917 – number of parallelogram polyominoes with 24 cells.[14]
- 157,351,936 = 125442 = 1124
- 164,916,224 = 445
- 165,580,141 = Fibonacci number
- 167,444,795 = cyclic number in base 6
- 170,859,375 = 157
- 171,794,492 = number of reduced trees with 36 nodes[15]
- 177,264,449 = Leyland number using 8 & 9 (89 + 98)
- 179,424,673 = 10,000,000th prime number
- 184,528,125 = 455
- 185,794,560 = double factorial of 18
- 188,378,402 = number of ways to partition {1,2,...,11} and then partition each cell (block) into subcells.[16]
- 190,899,322 = Bell number[17]
- 191,102,976 = 138242 = 5763 = 246
- 192,622,052 = number of free 18-ominoes
- 199,960,004 = number of surface-points of a tetrahedron with edge-length 9999[18]
200,000,000 to 299,999,999
[edit]- 200,000,002 = number of surface-points of a tetrahedron with edge-length 10000[18]
- 205,962,976 = 465
- 210,295,326 = Fine number
- 211,016,256 = number of primitive polynomials of degree 33 over GF(2)[19]
- 212,890,625 = 1-automorphic number[20]
- 214,358,881 = 146412 = 1214 = 118
- 222,222,222 = repdigit
- 222,222,227 = safe prime
- 223,092,870 = the product of the first nine prime numbers, thus the ninth primorial
- 225,058,681 = Pell number[21]
- 225,331,713 = self-descriptive number in base 9
- 229,345,007 = 475
- 232,792,560 = superior highly composite number;[22] colossally abundant number;[23] smallest number divisible by the numbers from 1 to 22 (there is no smaller number divisible by the numbers from 1 to 20 since any number divisible by 3 and 7 must be divisible by 21 and any number divisible by 2 and 11 must be divisible by 22)
- 240,882,152 = number of signed trees with 16 nodes[24]
- 244,140,625 = 156252 = 1253 = 256 = 512
- 244,389,457 = Leyland number[9] using 5 & 12 (512 + 125)
- 244,330,711 = n such that n | (3n + 5)[25]
- 245,492,244 = number of 35-bead necklaces (turning over is allowed) where complements are equivalent[7]
- 252,648,992 = number of 34-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[11]
- 253,450,711 = Wedderburn-Etherington prime[3]
- 254,803,968 = 485
- 260,301,176 = number of 33-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple 33-stage cycling shift register; also number of binary irreducible polynomials whose degree divides 33[12]
- 267,914,296 = Fibonacci number
- 268,435,456 = 163842 = 1284 = 167 = 414 = 228
- 268,436,240 = Leyland number using 2 & 28 (228 + 282)
- 268,473,872 = Leyland number using 4 & 14 (414 + 144)
- 272,400,600 = the number of terms of the harmonic series required to pass 20
- 275,305,224 = the number of magic squares of order 5, excluding rotations and reflections
- 279,793,450 = number of trees with 26 unlabeled nodes[2]
- 282,475,249 = 168072 = 495 = 710
- 292,475,249 = Leyland number using 7 & 10 (710 + 107)
- 294,130,458 = number of prime knots with 19 crossings
300,000,000 to 399,999,999
[edit]- 308,915,776 = 175762 = 6763 = 266
- 309,576,725 = number of centered hydrocarbons with 28 carbon atoms[5]
- 312,500,000 = 505
- 321,534,781 = Markov prime
- 331,160,281 = Leonardo prime[8]
- 333,333,333 = repdigit
- 336,849,900 = number of primitive polynomials of degree 34 over GF(2)[19]
- 345,025,251 = 515
- 350,238,175 = number of reduced trees with 37 nodes[15]
- 362,802,072 – number of parallelogram polyominoes with 25 cells[14]
- 364,568,617 = Leyland number[9] using 6 & 11 (611 + 116)
- 365,496,202 = n such that n | (3n + 5)[25]
- 367,567,200 = 14th colossally abundant number,[23] 14th superior highly composite number[22]
- 380,204,032 = 525
- 381,654,729 = the only polydivisible number that is also a zeroless pandigital number
- 387,420,489 = 196832 = 7293 = 276 = 99 = 318 and in tetration notation 29
- 387,426,321 = Leyland number using 3 & 18 (318 + 183)
400,000,000 to 499,999,999
[edit]- 400,080,004 = 200022, palindromic square
- 400,763,223 = Motzkin number[13]
- 404,090,404 = 201022, palindromic square
- 404,204,977 = number of prime numbers having ten digits[26]
- 405,071,317 = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
- 410,338,673 = 177
- 418,195,493 = 535
- 429,981,696 = 207362 = 1444 = 128 = 100,000,00012 AKA a gross-great-great-gross (10012 great-great-grosses)
- 433,494,437 = Fibonacci prime, Markov prime
- 442,386,619 = alternating factorial[27]
- 444,101,658 = number of (unordered, unlabeled) rooted trimmed trees with 27 nodes[28]
- 444,444,444 = repdigit
- 455,052,511 = number of primes under 1010
- 459,165,024 = 545
- 467,871,369 = number of triangle-free graphs on 14 vertices[29]
- 477,353,376 = number of 36-bead necklaces (turning over is allowed) where complements are equivalent[7]
- 477,638,700 = Catalan number[10]
- 479,001,599 = factorial prime[30]
- 479,001,600 = 12!
- 481,890,304 = 219522 = 7843 = 286
- 490,853,416 = number of 35-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[11]
- 499,999,751 = Sophie Germain prime
500,000,000 to 599,999,999
[edit]- 503,284,375 = 555
- 505,294,128 = number of 34-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple 34-stage cycling shift register; also number of binary irreducible polynomials whose degree divides 34[12]
- 522,808,225 = 228652, palindromic square
- 535,828,591 = Leonardo prime[8]
- 536,870,911 = third composite Mersenne number with a prime exponent
- 536,870,912 = 229
- 536,871,753 = Leyland number[9] using 2 & 29 (229 + 292)
- 542,474,231 = k such that the sum of the squares of the first k primes is divisible by k.[31]
- 543,339,720 = Pell number[21]
- 550,731,776 = 565
- 554,999,445 = a Kaprekar constant for digit length 9 in base 10
- 555,555,555 = repdigit
- 574,304,985 = 19 + 29 + 39 + 49 + 59 + 69 + 79 + 89 + 99 [32]
- 575,023,344 = 14-th derivative of xx at x=1[33]
- 594,823,321 = 243892 = 8413 = 296
- 596,572,387 = Wedderburn-Etherington prime[3]
600,000,000 to 699,999,999
[edit]- 601,692,057 = 575
- 612,220,032 = 187
- 617,323,716 = 248462, palindromic square
- 635,318,657 = the smallest number that is the sum of two fourth powers in two different ways (594 + 1584 = 1334 + 1344), of which Euler was aware.
- 644,972,544 = 8643, 3-smooth number
- 654,729,075 = double factorial of 19
- 656,356,768 = 585
- 666,666,666 = repdigit
- 670,617,279 = highest stopping time integer under 109 for the Collatz conjecture
700,000,000 to 799,999,999
[edit]- 701,408,733 = Fibonacci number
- 714,924,299 = 595
- 715,497,037 = number of reduced trees with 38 nodes[15]
- 715,827,883 = Wagstaff prime,[34] Jacobsthal prime
- 725,594,112 = number of primitive polynomials of degree 36 over GF(2)[19]
- 729,000,000 = 270002 = 9003 = 306
- 742,624,232 = number of free 19-ominoes
- 751,065,460 = number of trees with 27 unlabeled nodes[2]
- 774,840,978 = Leyland number[9] using 9 & 9 (99 + 99)
- 777,600,000 = 605
- 777,777,777 = repdigit
- 778,483,932 = Fine number
- 780,291,637 = Markov prime
- 787,109,376 = 1-automorphic number[20]
- 797,790,928 = number of centered hydrocarbons with 29 carbon atoms[5]
800,000,000 to 899,999,999
[edit]- 810,810,000 = smallest number with exactly 1000 factors
- 815,730,721 = 138
- 815,730,721 = 1694
- 835,210,000 = 1704
- 837,759,792 – number of parallelogram polyominoes with 26 cells.[14]
- 844,596,301 = 615
- 855,036,081 = 1714
- 875,213,056 = 1724
- 887,503,681 = 316
- 888,888,888 – repdigit
- 893,554,688 = 2-automorphic number[35]
- 893,871,739 = 197
- 895,745,041 = 1734
900,000,000 to 999,999,999
[edit]- 906,150,257 = smallest counterexample to the Polya conjecture
- 916,132,832 = 625
- 923,187,456 = 303842, the largest zeroless pandigital square
- 928,772,650 = number of 37-bead necklaces (turning over is allowed) where complements are equivalent[7]
- 929,275,200 = number of primitive polynomials of degree 35 over GF(2)[19]
- 942,060,249 = 306932, palindromic square
- 981,706,832 = number of 35-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple 35-stage cycling shift register; also number of binary irreducible polynomials whose degree divides 35[12]
- 987,654,321 = largest zeroless pandigital number
- 992,436,543 = 635
- 997,002,999 = 9993, the largest 9-digit cube
- 999,950,884 = 316222, the largest 9-digit square
- 999,961,560 = largest triangular number with 9 digits and the 44,720th triangular number
- 999,999,937 = largest 9-digit prime number
- 999,999,999 = repdigit
References
[edit]- ^ Sloane, N. J. A. (ed.). "Sequence A003617 (Smallest n-digit prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002104 (Logarithmic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c Sloane, N. J. A. (ed.). "Sequence A000022 (Number of centered hydrocarbons with n atoms)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A134716 (least number m such that sigma(m)/m > n, where sigma(m) is the sum of divisors of m)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c d Sloane, N. J. A. (ed.). "Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c Sloane, N. J. A. (ed.). "Sequence A145912 (Prime Leonardo numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c d e Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers: 3, together with numbers expressible as n^k + k^n nontrivially, i.e., n,k > 1 (to avoid n = (n-1)^1 + 1^(n-1)))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A000108 (Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c Sloane, N. J. A. (ed.). "Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c d Sloane, N. J. A. (ed.). "Sequence A000031 (Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c Sloane, N. J. A. (ed.). "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c Sloane, N. J. A. (ed.). "Sequence A000014 (Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000110 (Bell or exponential numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A005893 (Number of points on surface of tetrahedron)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b c d Sloane, N. J. A. (ed.). "Sequence A011260 (Number of primitive polynomials of degree n over GF(2))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A002201 (Superior highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A004490 (Colossally abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000060 (Number of signed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b Sloane, N. J. A. (ed.). "Sequence A277288 (Positive integers n such that n divides (3^n + 5))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006879 (Number of primes with n digits)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005165 (Alternating factorials)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002955 (Number of (unordered, unlabeled) rooted trimmed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006785 (Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A088054 (Factorial primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A111441 (Numbers k such that the sum of the squares of the first k primes is divisible by k)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A031971 (Sum_{1..n} k^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005727 (n-th derivative of x^x at x equals 1. Also called Lehmer-Comtet numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000979 (Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A030984 (2-automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.