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9968014313 is a prime number
BaseRepresentation
bin10010100100010001…
…11101001111101001
3221201200120121000022
421102020331033221
5130403302424223
64325041050225
7502005503135
oct112210751751
927650517008
109968014313
114255758764
121b22326975
13c2b19b72a
146a7bd83c5
153d5190ac8
hex25223d3e9

9968014313 has 2 divisors, whose sum is σ = 9968014314. Its totient is φ = 9968014312.

The previous prime is 9968014297. The next prime is 9968014333. The reversal of 9968014313 is 3134108699.

9968014313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8602933504 + 1365080809 = 92752^2 + 36947^2 .

It is an emirp because it is prime and its reverse (3134108699) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9968014313 - 24 = 9968014297 is a prime.

It is a super-2 number, since 2×99680143132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9968014333) 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, 4984007156 + 4984007157.

It is an arithmetic number, because the mean of its divisors is an integer number (4984007157).

Almost surely, 29968014313 is an apocalyptic number.

It is an amenable number.

9968014313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968014313 is an equidigital number, since it uses as much as digits as its factorization.

9968014313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 9968014313 is about 99839.9434745433. The cubic root of 9968014313 is about 2152.1352008064.

The spelling of 9968014313 in words is "nine billion, nine hundred sixty-eight million, fourteen thousand, three hundred thirteen".