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57113516031 = 31113294110883
BaseRepresentation
bin110101001100001110…
…110001011111111111
312110102100011020010120
4311030032301133333
51413432030003111
642123152510023
74061216606355
oct651416613777
9173370136116
1057113516031
11222490aaa20
12b09b24b313
13550273c500
142a9b3997d5
151744133406
hexd4c3b17ff

57113516031 has 48 divisors (see below), whose sum is σ = 90059962752. Its totient is φ = 31914729600.

The previous prime is 57113516003. The next prime is 57113516041. The reversal of 57113516031 is 13061531175.

It is not a de Polignac number, because 57113516031 - 225 = 57079961599 is a prime.

It is a super-2 number, since 2×571135160312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 57113515983 and 57113516001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57113516041) 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 47 ways as a sum of consecutive naturals, for example, 5242516 + ... + 5253398.

It is an arithmetic number, because the mean of its divisors is an integer number (1876249224).

Almost surely, 257113516031 is an apocalyptic number.

57113516031 is a deficient number, since it is larger than the sum of its proper divisors (32946446721).

57113516031 is a wasteful number, since it uses less digits than its factorization.

57113516031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 57113516031 in words is "fifty-seven billion, one hundred thirteen million, five hundred sixteen thousand, thirty-one".

Divisors: 1 3 11 13 33 39 143 169 429 507 941 1859 2823 5577 10351 10883 12233 31053 32649 36699 119713 134563 141479 159029 359139 403689 424437 477087 1556269 1749319 1839227 4668807 5247957 5517681 10240903 20231497 30722709 60694491 112649933 133131739 337949799 399395217 1464449129 1730712607 4393347387 5192137821 19037838677 57113516031