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12857338301 is a prime number
BaseRepresentation
bin10111111100101101…
…10110100110111101
31020012001100110101212
423332112312212331
5202312434311201
65523453214205
7633421400213
oct137626664675
936161313355
1012857338301
1154a86a5625
1225a9a91365
13129b971cb2
1489d830cb3
15503b71abb
hex2fe5b69bd

12857338301 has 2 divisors, whose sum is σ = 12857338302. Its totient is φ = 12857338300.

The previous prime is 12857338259. The next prime is 12857338309. The reversal of 12857338301 is 10383375821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12658500100 + 198838201 = 112510^2 + 14101^2 .

It is a cyclic number.

It is not a de Polignac number, because 12857338301 - 218 = 12857076157 is a prime.

It is a super-2 number, since 2×128573383012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12857338309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6428669150 + 6428669151.

It is an arithmetic number, because the mean of its divisors is an integer number (6428669151).

Almost surely, 212857338301 is an apocalyptic number.

It is an amenable number.

12857338301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12857338301 is an equidigital number, since it uses as much as digits as its factorization.

12857338301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 12857338301 in words is "twelve billion, eight hundred fifty-seven million, three hundred thirty-eight thousand, three hundred one".