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12947513057 is a prime number
BaseRepresentation
bin11000000111011101…
…10101111011100001
31020102100000210220122
430003232311323201
5203004030404212
65540434050025
7635565021323
oct140356657341
936370023818
1012947513057
115544596216
122614119915
1312b455563b
148ab7c5613
1550ba35272
hex303bb5ee1

12947513057 has 2 divisors, whose sum is σ = 12947513058. Its totient is φ = 12947513056.

The previous prime is 12947513023. The next prime is 12947513077. The reversal of 12947513057 is 75031574921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10567634401 + 2379878656 = 102799^2 + 48784^2 .

It is a cyclic number.

It is not a de Polignac number, because 12947513057 - 216 = 12947447521 is a prime.

It is a super-2 number, since 2×129475130572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12947512999 and 12947513017.

It is not a weakly prime, because it can be changed into another prime (12947513077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6473756528 + 6473756529.

It is an arithmetic number, because the mean of its divisors is an integer number (6473756529).

Almost surely, 212947513057 is an apocalyptic number.

It is an amenable number.

12947513057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12947513057 is an equidigital number, since it uses as much as digits as its factorization.

12947513057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 12947513057 in words is "twelve billion, nine hundred forty-seven million, five hundred thirteen thousand, fifty-seven".