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31331202137 is a prime number
BaseRepresentation
bin11101001011011111…
…000011010001011001
32222212112011222101222
4131023133003101121
51003131241432022
622220544221425
72156262552434
oct351337032131
988775158358
1031331202137
1112318712994
1260a490a875
132c54106281
14173316c81b
15c3592e242
hex74b7c3459

31331202137 has 2 divisors, whose sum is σ = 31331202138. Its totient is φ = 31331202136.

The previous prime is 31331202107. The next prime is 31331202143. The reversal of 31331202137 is 73120213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30381884416 + 949317721 = 174304^2 + 30811^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331202137 - 26 = 31331202073 is a prime.

It is not a weakly prime, because it can be changed into another prime (31331202107) 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 as a sum of consecutive naturals, namely, 15665601068 + 15665601069.

It is an arithmetic number, because the mean of its divisors is an integer number (15665601069).

Almost surely, 231331202137 is an apocalyptic number.

It is an amenable number.

31331202137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331202137 is an equidigital number, since it uses as much as digits as its factorization.

31331202137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 31331202137 in words is "thirty-one billion, three hundred thirty-one million, two hundred two thousand, one hundred thirty-seven".