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31100008923 = 32232411071489
BaseRepresentation
bin11100111101101101…
…000111100111011011
32222021102011010221100
4130331231013213123
51002143100241143
622142005042443
72150454466644
oct347555074733
988242133840
1031100008923
111220a165015
12603b3b6423
132c18249b59
14171058a6cb
15c204b26d3
hex73db479db

31100008923 has 72 divisors (see below), whose sum is σ = 48587862960. Its totient is φ = 19154488320.

The previous prime is 31100008873. The next prime is 31100008939. The reversal of 31100008923 is 32980000113.

It is not a de Polignac number, because 31100008923 - 26 = 31100008859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31100008943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20885763 + ... + 20887251.

It is an arithmetic number, because the mean of its divisors is an integer number (674831430).

Almost surely, 231100008923 is an apocalyptic number.

31100008923 is a deficient number, since it is larger than the sum of its proper divisors (17487854037).

31100008923 is a wasteful number, since it uses less digits than its factorization.

31100008923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 31100008923 in words is "thirty-one billion, one hundred million, eight thousand, nine hundred twenty-three".

Divisors: 1 3 9 23 41 69 107 123 207 321 369 529 943 963 1489 1587 2461 2829 4387 4467 4761 7383 8487 13161 13401 21689 22149 34247 39483 56603 61049 65067 100901 102741 159323 169809 183147 195201 302703 308223 477969 509427 549441 787681 908109 1404127 1433907 2320723 2363043 3664429 4212381 6532243 6962169 7089129 10993287 12637143 19596729 20886507 32294921 32979861 58790187 84281867 96884763 150241589 252845601 290654289 450724767 758536803 1352174301 3455556547 10366669641 31100008923