Search a number
-
+
313115137 is a prime number
BaseRepresentation
bin10010101010011…
…100001000000001
3210211011220012221
4102222130020001
51120124141022
651023051041
710521302056
oct2252341001
9724156187
10313115137
11150822045
1288a40a81
134cb4053a
142d82902d
151c74ecc7
hex12a9c201

313115137 has 2 divisors, whose sum is σ = 313115138. Its totient is φ = 313115136.

The previous prime is 313115113. The next prime is 313115141. The reversal of 313115137 is 731511313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276922881 + 36192256 = 16641^2 + 6016^2 .

It is a cyclic number.

It is not a de Polignac number, because 313115137 - 223 = 304726529 is a prime.

It is not a weakly prime, because it can be changed into another prime (313115437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156557568 + 156557569.

It is an arithmetic number, because the mean of its divisors is an integer number (156557569).

Almost surely, 2313115137 is an apocalyptic number.

It is an amenable number.

313115137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313115137 is an equidigital number, since it uses as much as digits as its factorization.

313115137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 945, while the sum is 25.

The square root of 313115137 is about 17695.0596777745. The cubic root of 313115137 is about 679.0493759656.

The spelling of 313115137 in words is "three hundred thirteen million, one hundred fifteen thousand, one hundred thirty-seven".