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12957309221 is a prime number
BaseRepresentation
bin11000001000101000…
…01101100100100101
31020110000110111201112
430010110031210211
5203014032343341
65541424034405
7636044211503
oct140424154445
936400414645
1012957309221
11554a07721a
122617462a05
1312b65a549c
148acc15673
1550c81caeb
hex30450d925

12957309221 has 2 divisors, whose sum is σ = 12957309222. Its totient is φ = 12957309220.

The previous prime is 12957309173. The next prime is 12957309241. The reversal of 12957309221 is 12290375921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11774637121 + 1182672100 = 108511^2 + 34390^2 .

It is a cyclic number.

It is not a de Polignac number, because 12957309221 - 210 = 12957308197 is a prime.

It is a super-2 number, since 2×129573092212 (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 (12957309241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6478654610 + 6478654611.

It is an arithmetic number, because the mean of its divisors is an integer number (6478654611).

Almost surely, 212957309221 is an apocalyptic number.

It is an amenable number.

12957309221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12957309221 is an equidigital number, since it uses as much as digits as its factorization.

12957309221 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 41.

The spelling of 12957309221 in words is "twelve billion, nine hundred fifty-seven million, three hundred nine thousand, two hundred twenty-one".