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313131361831 is a prime number
BaseRepresentation
bin1001000111010000001…
…01010110011000100111
31002221020122220022202121
410203220011112120213
520112243112034311
6355503415450411
731423454442151
oct4435005263047
91087218808677
10313131361831
11110886543852
125082b086a07
13236b34a4bb2
1411227103ad1
15822a40cb71
hex48e8156627

313131361831 has 2 divisors, whose sum is σ = 313131361832. Its totient is φ = 313131361830.

The previous prime is 313131361811. The next prime is 313131361891. The reversal of 313131361831 is 138163131313.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313131361831 is a prime.

It is a super-2 number, since 2×3131313618312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313131361811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565680915 + 156565680916.

It is an arithmetic number, because the mean of its divisors is an integer number (156565680916).

Almost surely, 2313131361831 is an apocalyptic number.

313131361831 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131361831 is an equidigital number, since it uses as much as digits as its factorization.

313131361831 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 34.

The spelling of 313131361831 in words is "three hundred thirteen billion, one hundred thirty-one million, three hundred sixty-one thousand, eight hundred thirty-one".