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131374097 is a prime number
BaseRepresentation
bin1111101010010…
…01110000010001
3100011012111101022
413311021300101
5232112432342
621011445225
73153442601
oct765116021
9304174338
10131374097
1168180338
1237bb6815
13212aa06a
141363ac01
15b8009d2
hex7d49c11

131374097 has 2 divisors, whose sum is σ = 131374098. Its totient is φ = 131374096.

The previous prime is 131374051. The next prime is 131374099. The reversal of 131374097 is 790473131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129254161 + 2119936 = 11369^2 + 1456^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131374097 is a prime.

Together with 131374099, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p7451756 and since 131374097 and 7451756 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (131374099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65687048 + 65687049.

It is an arithmetic number, because the mean of its divisors is an integer number (65687049).

Almost surely, 2131374097 is an apocalyptic number.

It is an amenable number.

131374097 is a deficient number, since it is larger than the sum of its proper divisors (1).

131374097 is an equidigital number, since it uses as much as digits as its factorization.

131374097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 131374097 is about 11461.8539948823. The cubic root of 131374097 is about 508.3582952417.

The spelling of 131374097 in words is "one hundred thirty-one million, three hundred seventy-four thousand, ninety-seven".