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131309957 is a prime number
BaseRepresentation
bin1111101001110…
…10000110000101
3100011002020101202
413310322012011
5232103404312
621010232245
73153054602
oct764720605
9304066352
10131309957
1168137129
1237b85685
1321286acc
14136216a9
15b7db9c2
hex7d3a185

131309957 has 2 divisors, whose sum is σ = 131309958. Its totient is φ = 131309956.

The previous prime is 131309953. The next prime is 131309993. The reversal of 131309957 is 759903131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114939841 + 16370116 = 10721^2 + 4046^2 .

It is a cyclic number.

It is not a de Polignac number, because 131309957 - 22 = 131309953 is a prime.

It is equal to p7448267 and since 131309957 and 7448267 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131309957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131309953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65654978 + 65654979.

It is an arithmetic number, because the mean of its divisors is an integer number (65654979).

Almost surely, 2131309957 is an apocalyptic number.

It is an amenable number.

131309957 is a deficient number, since it is larger than the sum of its proper divisors (1).

131309957 is an equidigital number, since it uses as much as digits as its factorization.

131309957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25515, while the sum is 38.

The square root of 131309957 is about 11459.0556766254. The cubic root of 131309957 is about 508.2755508509.

The spelling of 131309957 in words is "one hundred thirty-one million, three hundred nine thousand, nine hundred fifty-seven".