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10057138339 is a prime number
BaseRepresentation
bin10010101110111001…
…11100000010100011
3221221220021120012011
421113130330002203
5131044111411324
64341543213351
7504140160013
oct112734740243
927856246164
1010057138339
1142a0aa0986
121b48147257
13c437a4a41
146b5997c43
153dcde7c94
hex25773c0a3

10057138339 has 2 divisors, whose sum is σ = 10057138340. Its totient is φ = 10057138338.

The previous prime is 10057138297. The next prime is 10057138369. The reversal of 10057138339 is 93383175001.

10057138339 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 is a cyclic number.

It is not a de Polignac number, because 10057138339 - 215 = 10057105571 is a prime.

It is a super-2 number, since 2×100571383392 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10057138369) 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, 5028569169 + 5028569170.

It is an arithmetic number, because the mean of its divisors is an integer number (5028569170).

Almost surely, 210057138339 is an apocalyptic number.

10057138339 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057138339 is an equidigital number, since it uses as much as digits as its factorization.

10057138339 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 10057138339 in words is "ten billion, fifty-seven million, one hundred thirty-eight thousand, three hundred thirty-nine".