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113131002961 is a prime number
BaseRepresentation
bin110100101011100100…
…0100001110001010001
3101211000021221101222201
41221113020201301101
53323143014043321
6123545514003201
711113330441654
oct1512710416121
9354007841881
10113131002961
1143a84557a69
1219b13416501
13a88c08b592
145692d6b89b
152e21e17291
hex1a57221c51

113131002961 has 2 divisors, whose sum is σ = 113131002962. Its totient is φ = 113131002960.

The previous prime is 113131002949. The next prime is 113131003103. The reversal of 113131002961 is 169200131311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68601562561 + 44529440400 = 261919^2 + 211020^2 .

It is a cyclic number.

It is not a de Polignac number, because 113131002961 - 29 = 113131002449 is a prime.

It is not a weakly prime, because it can be changed into another prime (113131002931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56565501480 + 56565501481.

It is an arithmetic number, because the mean of its divisors is an integer number (56565501481).

Almost surely, 2113131002961 is an apocalyptic number.

It is an amenable number.

113131002961 is a deficient number, since it is larger than the sum of its proper divisors (1).

113131002961 is an equidigital number, since it uses as much as digits as its factorization.

113131002961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 113131002961 in words is "one hundred thirteen billion, one hundred thirty-one million, two thousand, nine hundred sixty-one".