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31158131031 = 333137225963
BaseRepresentation
bin11101000001001010…
…110101100101010111
32222102110112001111000
4131001022311211113
51002302440143111
622151442514343
72152061513106
oct350112654527
988373461430
1031158131031
1112239a53015
1260569659b3
132c272ba131
14171819a03d
15c25643c56
hex7412b5957

31158131031 has 16 divisors (see below), whose sum is σ = 47649233920. Its totient is φ = 20102019480.

The previous prime is 31158131021. The next prime is 31158131051. The reversal of 31158131031 is 13013185113.

31158131031 is a `hidden beast` number, since 311 + 5 + 8 + 1 + 310 + 31 = 666.

It is not a de Polignac number, because 31158131031 - 25 = 31158130999 is a prime.

It is a super-2 number, since 2×311581310312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31158130986 and 31158131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31158131021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18612145 + ... + 18613818.

It is an arithmetic number, because the mean of its divisors is an integer number (2978077120).

Almost surely, 231158131031 is an apocalyptic number.

31158131031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31158131031 is a deficient number, since it is larger than the sum of its proper divisors (16491102889).

31158131031 is a wasteful number, since it uses less digits than its factorization.

31158131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37226003 (or 37225997 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 31158131031 in words is "thirty-one billion, one hundred fifty-eight million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 27 31 93 279 837 37225963 111677889 335033667 1005101001 1154004853 3462014559 10386043677 31158131031