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31327472313 = 32173159111949
BaseRepresentation
bin11101001011010000…
…110100101010111001
32222212021011111001100
4131023100310222321
51003124313103223
622220332242013
72156216056344
oct351320645271
988767144040
1031327472313
11123165a5695
1260a3610309
132c533cb687
14173287b45b
15c35444043
hex74b434ab9

31327472313 has 48 divisors (see below), whose sum is σ = 50296896000. Its totient is φ = 18699793920.

The previous prime is 31327472311. The next prime is 31327472321.

31327472313 is a `hidden beast` number, since 3 + 1 + 3 + 274 + 72 + 313 = 666.

31327472313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31327472313 - 21 = 31327472311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31327472311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223863 + ... + 335811.

It is an arithmetic number, because the mean of its divisors is an integer number (1047852000).

Almost surely, 231327472313 is an apocalyptic number.

It is an amenable number.

31327472313 is a deficient number, since it is larger than the sum of its proper divisors (18969423687).

31327472313 is a wasteful number, since it uses less digits than its factorization.

31327472313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112062 (or 112059 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The spelling of 31327472313 in words is "thirty-one billion, three hundred twenty-seven million, four hundred seventy-two thousand, three hundred thirteen".

Divisors: 1 3 9 17 31 51 59 93 153 177 279 527 531 1003 1581 1829 3009 4743 5487 9027 16461 31093 93279 111949 279837 335847 1007541 1903133 3470419 5709399 6604991 10411257 17128197 19814973 31233771 58997123 59444919 112284847 176991369 204754721 336854541 530974107 614264163 1010563623 1842792489 3480830257 10442490771 31327472313