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12457145297 is a prime number
BaseRepresentation
bin10111001101000000…
…01111001111010001
31012011011022112210202
423212200033033101
5201003012122142
65420035504545
7620461662602
oct134640171721
935134275722
1012457145297
115312808703
1224b7a58155
131236a938bc
14862619da9
154cd971032
hex2e680f3d1

12457145297 has 2 divisors, whose sum is σ = 12457145298. Its totient is φ = 12457145296.

The previous prime is 12457145291. The next prime is 12457145303. The reversal of 12457145297 is 79254175421.

12457145297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12457145291) and next prime (12457145303).

It can be written as a sum of positive squares in only one way, i.e., 9024240016 + 3432905281 = 94996^2 + 58591^2 .

It is an emirp because it is prime and its reverse (79254175421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12457145297 - 224 = 12440368081 is a prime.

It is a super-3 number, since 3×124571452973 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12457145291) 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, 6228572648 + 6228572649.

It is an arithmetic number, because the mean of its divisors is an integer number (6228572649).

Almost surely, 212457145297 is an apocalyptic number.

It is an amenable number.

12457145297 is a deficient number, since it is larger than the sum of its proper divisors (1).

12457145297 is an equidigital number, since it uses as much as digits as its factorization.

12457145297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 705600, while the sum is 47.

The spelling of 12457145297 in words is "twelve billion, four hundred fifty-seven million, one hundred forty-five thousand, two hundred ninety-seven".