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31186668113 = 172337873433
BaseRepresentation
bin11101000010110111…
…101100101001010001
32222111110012212222222
4131002313230221101
51002332241334423
622154342310425
72152556206436
oct350267545121
988443185888
1031186668113
1112254074387
126064428415
132c3019c293
14171bca7b8d
15c27dce3c8
hex742deca51

31186668113 has 8 divisors (see below), whose sum is σ = 33162904008. Its totient is φ = 29226179584.

The previous prime is 31186668103. The next prime is 31186668131.

31186668113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 11752077649 + 19434590464 = 108407^2 + 139408^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31186668113 - 26 = 31186668049 is a prime.

It is a super-3 number, since 3×311866681133 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31186668103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932756 + ... + 3940677.

It is an arithmetic number, because the mean of its divisors is an integer number (4145363001).

Almost surely, 231186668113 is an apocalyptic number.

It is an amenable number.

31186668113 is a deficient number, since it is larger than the sum of its proper divisors (1976235895).

31186668113 is a wasteful number, since it uses less digits than its factorization.

31186668113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7873683.

The product of its digits is 124416, while the sum is 44.

The spelling of 31186668113 in words is "thirty-one billion, one hundred eighty-six million, six hundred sixty-eight thousand, one hundred thirteen".

Divisors: 1 17 233 3961 7873433 133848361 1834509889 31186668113