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313231132313 = 11174120278069
BaseRepresentation
bin1001000111011100000…
…01111100011010011001
31002221111121122012010122
410203232001330122121
520112444132213223
6355521342123025
731426105460201
oct4435601743231
91087447565118
10313231132313
111109278988a0
1250858580475
13236cb068098
1411236475401
1582340695c8
hex48ee07c699

313231132313 has 16 divisors (see below), whose sum is σ = 342114027840. Its totient is φ = 284416363200.

The previous prime is 313231132303. The next prime is 313231132321.

313231132313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313231132313 - 24 = 313231132297 is a prime.

It is a super-2 number, since 2×3132311323132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313231132303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38815043 + ... + 38823111.

It is an arithmetic number, because the mean of its divisors is an integer number (21382126740).

Almost surely, 2313231132313 is an apocalyptic number.

It is an amenable number.

313231132313 is a deficient number, since it is larger than the sum of its proper divisors (28882895527).

313231132313 is a wasteful number, since it uses less digits than its factorization.

313231132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848.

The product of its digits is 2916, while the sum is 26.

It can be divided in two parts, 313231 and 132313, that added together give a palindrome (445544).

The spelling of 313231132313 in words is "three hundred thirteen billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 11 1741 2027 8069 19151 22297 88759 3529007 14048129 16355863 38819077 154529419 179914493 28475557483 313231132313