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113518128961 is a prime number
BaseRepresentation
bin110100110111000110…
…1010010111101000001
3101212000021101110000201
41221232031102331001
53324441120111321
6124052143245201
711126041114126
oct1515615227501
9355007343021
10113518128961
114416302a506
121a000ba9801
13a921343113
1456cc54074d
152e45dd6291
hex1a6e352f41

113518128961 has 2 divisors, whose sum is σ = 113518128962. Its totient is φ = 113518128960.

The previous prime is 113518128887. The next prime is 113518129019. The reversal of 113518128961 is 169821815311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85530511936 + 27987617025 = 292456^2 + 167295^2 .

It is a cyclic number.

It is not a de Polignac number, because 113518128961 - 223 = 113509740353 is a prime.

It is not a weakly prime, because it can be changed into another prime (113518138961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56759064480 + 56759064481.

It is an arithmetic number, because the mean of its divisors is an integer number (56759064481).

Almost surely, 2113518128961 is an apocalyptic number.

It is an amenable number.

113518128961 is a deficient number, since it is larger than the sum of its proper divisors (1).

113518128961 is an equidigital number, since it uses as much as digits as its factorization.

113518128961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 46.

The spelling of 113518128961 in words is "one hundred thirteen billion, five hundred eighteen million, one hundred twenty-eight thousand, nine hundred sixty-one".