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31371188801 is a prime number
BaseRepresentation
bin11101001101110111…
…100101101001000001
32222222022102111210112
4131031313211221001
51003222011020201
622224533241105
72160256463561
oct351567455101
988868374715
1031371188801
1112339244517
1260b6193195
132c5c496a14
1417385bada1
15c391cc0bb
hex74dde5a41

31371188801 has 2 divisors, whose sum is σ = 31371188802. Its totient is φ = 31371188800.

The previous prime is 31371188789. The next prime is 31371188851. The reversal of 31371188801 is 10888117313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31362639025 + 8549776 = 177095^2 + 2924^2 .

It is a cyclic number.

It is not a de Polignac number, because 31371188801 - 210 = 31371187777 is a prime.

It is not a weakly prime, because it can be changed into another prime (31371188851) 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, 15685594400 + 15685594401.

It is an arithmetic number, because the mean of its divisors is an integer number (15685594401).

Almost surely, 231371188801 is an apocalyptic number.

It is an amenable number.

31371188801 is a deficient number, since it is larger than the sum of its proper divisors (1).

31371188801 is an equidigital number, since it uses as much as digits as its factorization.

31371188801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 41.

The spelling of 31371188801 in words is "thirty-one billion, three hundred seventy-one million, one hundred eighty-eight thousand, eight hundred one".