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37131012917 is a prime number
BaseRepresentation
bin100010100101001011…
…100100101100110101
310112211201112220002122
4202211023210230311
51102021014403132
625020250245325
72453066254655
oct424513445465
9115751486078
1037131012917
1114824541639
127243126845
13366987c87b
141b2354a365
15e74bc1912
hex8a52e4b35

37131012917 has 2 divisors, whose sum is σ = 37131012918. Its totient is φ = 37131012916.

The previous prime is 37131012911. The next prime is 37131012929. The reversal of 37131012917 is 71921013173.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29430774916 + 7700238001 = 171554^2 + 87751^2 .

It is a cyclic number.

It is not a de Polignac number, because 37131012917 - 212 = 37131008821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37131012911) 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, 18565506458 + 18565506459.

It is an arithmetic number, because the mean of its divisors is an integer number (18565506459).

Almost surely, 237131012917 is an apocalyptic number.

It is an amenable number.

37131012917 is a deficient number, since it is larger than the sum of its proper divisors (1).

37131012917 is an equidigital number, since it uses as much as digits as its factorization.

37131012917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 35.

The spelling of 37131012917 in words is "thirty-seven billion, one hundred thirty-one million, twelve thousand, nine hundred seventeen".