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3131102233297 is a prime number
BaseRepresentation
bin101101100100000100001…
…111001000001011010001
3102002022220220020202220101
4231210010033020023101
5402244444132431142
610354224123212401
7442133426565433
oct55440417101321
912068826222811
103131102233297
11aa7990646015
124269b3977101
13199352b87a8c
14ab790922653
15566a92300b7
hex2d9043c82d1

3131102233297 has 2 divisors, whose sum is σ = 3131102233298. Its totient is φ = 3131102233296.

The previous prime is 3131102233267. The next prime is 3131102233411. The reversal of 3131102233297 is 7923322011313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1775079247041 + 1356022986256 = 1332321^2 + 1164484^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131102233297 - 215 = 3131102200529 is a prime.

It is a super-2 number, since 2×31311022332972 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3131102233267) 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, 1565551116648 + 1565551116649.

It is an arithmetic number, because the mean of its divisors is an integer number (1565551116649).

Almost surely, 23131102233297 is an apocalyptic number.

It is an amenable number.

3131102233297 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131102233297 is an equidigital number, since it uses as much as digits as its factorization.

3131102233297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 3131102233297 in words is "three trillion, one hundred thirty-one billion, one hundred two million, two hundred thirty-three thousand, two hundred ninety-seven".