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12564745231 is a prime number
BaseRepresentation
bin10111011001110101…
…01100110000001111
31012102122210012011111
423230322230300033
5201213033321411
65434442032451
7623236400203
oct135472546017
935378705144
1012564745231
115368520075
122527aa8727
1312531686bc
14872a28b03
154d8127721
hex2eceacc0f

12564745231 has 2 divisors, whose sum is σ = 12564745232. Its totient is φ = 12564745230.

The previous prime is 12564745157. The next prime is 12564745247. The reversal of 12564745231 is 13254746521.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12564745231 - 229 = 12027874319 is a prime.

It is a super-2 number, since 2×125647452312 (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 (12564745261) 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, 6282372615 + 6282372616.

It is an arithmetic number, because the mean of its divisors is an integer number (6282372616).

Almost surely, 212564745231 is an apocalyptic number.

12564745231 is a deficient number, since it is larger than the sum of its proper divisors (1).

12564745231 is an equidigital number, since it uses as much as digits as its factorization.

12564745231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 40.

The spelling of 12564745231 in words is "twelve billion, five hundred sixty-four million, seven hundred forty-five thousand, two hundred thirty-one".