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12313574401 is a prime number
BaseRepresentation
bin10110111011111001…
…00011110000000001
31011210011011101120011
423131330203300001
5200204233340101
65353510344521
7614066440552
oct133574436001
934704141504
1012313574401
115249767777
12247795b141
1312131060cb
1484b526329
154c1061751
hex2ddf23c01

12313574401 has 2 divisors, whose sum is σ = 12313574402. Its totient is φ = 12313574400.

The previous prime is 12313574347. The next prime is 12313574407. The reversal of 12313574401 is 10447531321.

12313574401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7861482225 + 4452092176 = 88665^2 + 66724^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313574401 - 221 = 12311477249 is a prime.

It is a super-2 number, since 2×123135744012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12313574407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156787200 + 6156787201.

It is an arithmetic number, because the mean of its divisors is an integer number (6156787201).

Almost surely, 212313574401 is an apocalyptic number.

It is an amenable number.

12313574401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313574401 is an equidigital number, since it uses as much as digits as its factorization.

12313574401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 12313574401 in words is "twelve billion, three hundred thirteen million, five hundred seventy-four thousand, four hundred one".