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12641216117 is a prime number
BaseRepresentation
bin10111100010111100…
…11010011001110101
31012121222200022111112
423301132122121311
5201342122403432
65450213044405
7625155364325
oct136136323165
935558608445
1012641216117
1153a7700852
122549626705
131265c6164a
1487cc53285
154debd07b2
hex2f179a675

12641216117 has 2 divisors, whose sum is σ = 12641216118. Its totient is φ = 12641216116.

The previous prime is 12641216069. The next prime is 12641216129. The reversal of 12641216117 is 71161214621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7581881476 + 5059334641 = 87074^2 + 71129^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12641216117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12641216317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6320608058 + 6320608059.

It is an arithmetic number, because the mean of its divisors is an integer number (6320608059).

Almost surely, 212641216117 is an apocalyptic number.

It is an amenable number.

12641216117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12641216117 is an equidigital number, since it uses as much as digits as its factorization.

12641216117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 32.

The spelling of 12641216117 in words is "twelve billion, six hundred forty-one million, two hundred sixteen thousand, one hundred seventeen".