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313231140401 = 5331734575393
BaseRepresentation
bin1001000111011100000…
…01111110011000110001
31002221111121122121020012
410203232001332120301
520112444132443101
6355521342224305
731426105522604
oct4435601763061
91087447577205
10313231140401
111109278a3983
1250858585095
13236cb06b97a
141123647833b
15823406bbbb
hex48ee07e631

313231140401 has 16 divisors (see below), whose sum is σ = 320299905744. Its totient is φ = 306206244864.

The previous prime is 313231140379. The next prime is 313231140437. The reversal of 313231140401 is 104041132313.

It can be written as a sum of positive squares in 8 ways, for example, as 13339095025 + 299892045376 = 115495^2 + 547624^2 .

It is a cyclic number.

It is not a de Polignac number, because 313231140401 - 26 = 313231140337 is a prime.

It is a super-2 number, since 2×3132311404012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313231140301) 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, 58078361 + ... + 58083753.

It is an arithmetic number, because the mean of its divisors is an integer number (20018744109).

Almost surely, 2313231140401 is an apocalyptic number.

It is an amenable number.

313231140401 is a deficient number, since it is larger than the sum of its proper divisors (7068765343).

313231140401 is a wasteful number, since it uses less digits than its factorization.

313231140401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 313231140401 its reverse (104041132313), we get a palindrome (417272272714).

The spelling of 313231140401 in words is "three hundred thirteen billion, two hundred thirty-one million, one hundred forty thousand, four hundred one".

Divisors: 1 53 317 3457 5393 16801 183221 285829 1095869 1709581 18643601 58081057 90607793 988110853 5910021517 313231140401