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10057138297 is a prime number
BaseRepresentation
bin10010101110111001…
…11100000001111001
3221221220021120010121
421113130330001321
5131044111411142
64341543213241
7504140156623
oct112734740171
927856246117
1010057138297
1142a0aa0948
121b48147221
13c437a4a0b
146b5997c13
153dcde7c67
hex25773c079

10057138297 has 2 divisors, whose sum is σ = 10057138298. Its totient is φ = 10057138296.

The previous prime is 10057138279. The next prime is 10057138339. The reversal of 10057138297 is 79283175001.

Together with previous prime (10057138279) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9630674496 + 426463801 = 98136^2 + 20651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10057138297 is a prime.

It is a super-2 number, since 2×100571382972 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10057138097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028569148 + 5028569149.

It is an arithmetic number, because the mean of its divisors is an integer number (5028569149).

Almost surely, 210057138297 is an apocalyptic number.

It is an amenable number.

10057138297 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057138297 is an equidigital number, since it uses as much as digits as its factorization.

10057138297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 10057138297 in words is "ten billion, fifty-seven million, one hundred thirty-eight thousand, two hundred ninety-seven".