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131407037 is a prime number
BaseRepresentation
bin1111101010100…
…01110010111101
3100011021011120022
413311101302331
5232120011122
621012301525
73153640616
oct765216275
9304234508
10131407037
11681a3063
12380118a5
13212bc058
1413648c0d
15b80a642
hex7d51cbd

131407037 has 2 divisors, whose sum is σ = 131407038. Its totient is φ = 131407036.

The previous prime is 131407019. The next prime is 131407039. The reversal of 131407037 is 730704131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130622041 + 784996 = 11429^2 + 886^2 .

It is a cyclic number.

It is not a de Polignac number, because 131407037 - 26 = 131406973 is a prime.

Together with 131407039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 131406997 and 131407015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131407039) 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, 65703518 + 65703519.

It is an arithmetic number, because the mean of its divisors is an integer number (65703519).

Almost surely, 2131407037 is an apocalyptic number.

It is an amenable number.

131407037 is a deficient number, since it is larger than the sum of its proper divisors (1).

131407037 is an equidigital number, since it uses as much as digits as its factorization.

131407037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 131407037 is about 11463.2908451282. The cubic root of 131407037 is about 508.4007793216.

The spelling of 131407037 in words is "one hundred thirty-one million, four hundred seven thousand, thirty-seven".