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12257601029 is a prime number
BaseRepresentation
bin10110110101001110…
…00010011000000101
31011122020211122112022
423122213002120011
5200100421213104
65344150532525
7612516614102
oct133247023005
934566748468
1012257601029
115220107093
122461067145
131204638b7b
14843d15aa9
154bb1a6bbe
hex2da9c2605

12257601029 has 2 divisors, whose sum is σ = 12257601030. Its totient is φ = 12257601028.

The previous prime is 12257601017. The next prime is 12257601047. The reversal of 12257601029 is 92010675221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11632701025 + 624900004 = 107855^2 + 24998^2 .

It is a cyclic number.

It is not a de Polignac number, because 12257601029 - 212 = 12257596933 is a prime.

It is a super-2 number, since 2×122576010292 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12257601029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12257601049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6128800514 + 6128800515.

It is an arithmetic number, because the mean of its divisors is an integer number (6128800515).

Almost surely, 212257601029 is an apocalyptic number.

It is an amenable number.

12257601029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12257601029 is an equidigital number, since it uses as much as digits as its factorization.

12257601029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 12257601029 in words is "twelve billion, two hundred fifty-seven million, six hundred one thousand, twenty-nine".