Search a number
-
+
313232137 is a prime number
BaseRepresentation
bin10010101010111…
…000101100001001
3210211101211201021
4102222320230021
51120141412022
651025352441
710522300141
oct2252705411
9724354637
10313232137
111508a1a39
1288a98721
134cb8187a
142d859921
151c7747c7
hex12ab8b09

313232137 has 2 divisors, whose sum is σ = 313232138. Its totient is φ = 313232136.

The previous prime is 313232107. The next prime is 313232149. The reversal of 313232137 is 731232313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299843856 + 13388281 = 17316^2 + 3659^2 .

It is a cyclic number.

It is not a de Polignac number, because 313232137 - 211 = 313230089 is a prime.

It is a super-2 number, since 2×3132321372 = 196228743299173538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313232107) 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, 156616068 + 156616069.

It is an arithmetic number, because the mean of its divisors is an integer number (156616069).

Almost surely, 2313232137 is an apocalyptic number.

It is an amenable number.

313232137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313232137 is an equidigital number, since it uses as much as digits as its factorization.

313232137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 313232137 is about 17698.3653764973. The cubic root of 313232137 is about 679.1339443069.

The spelling of 313232137 in words is "three hundred thirteen million, two hundred thirty-two thousand, one hundred thirty-seven".