Search a number
-
+
113257300337 is a prime number
BaseRepresentation
bin110100101111010101…
…0010100000101110001
3101211100002120222102022
41221132222110011301
53323422332102322
6124010225001225
711116423111616
oct1513652240561
9354302528368
10113257300337
1144039880065
1219b49783215
13a8ac2ab95c
1456a5a4650d
152e2d063942
hex1a5ea94171

113257300337 has 2 divisors, whose sum is σ = 113257300338. Its totient is φ = 113257300336.

The previous prime is 113257300319. The next prime is 113257300391. The reversal of 113257300337 is 733003752311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108857764096 + 4399536241 = 329936^2 + 66329^2 .

It is a cyclic number.

It is not a de Polignac number, because 113257300337 - 28 = 113257300081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113257300297 and 113257300306.

It is not a weakly prime, because it can be changed into another prime (113257300237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56628650168 + 56628650169.

It is an arithmetic number, because the mean of its divisors is an integer number (56628650169).

Almost surely, 2113257300337 is an apocalyptic number.

It is an amenable number.

113257300337 is a deficient number, since it is larger than the sum of its proper divisors (1).

113257300337 is an equidigital number, since it uses as much as digits as its factorization.

113257300337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39690, while the sum is 35.

The spelling of 113257300337 in words is "one hundred thirteen billion, two hundred fifty-seven million, three hundred thousand, three hundred thirty-seven".