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12417654013 is a prime number
BaseRepresentation
bin10111001000010011…
…00101110011111101
31012001102000011221121
423210021211303331
5200412404412023
65412105230541
7616502213632
oct134411456375
935042004847
1012417654013
1152a2495286
1224a6792451
13122b84778b
1485b29a189
154ca26ed5d
hex2e4265cfd

12417654013 has 2 divisors, whose sum is σ = 12417654014. Its totient is φ = 12417654012.

The previous prime is 12417653999. The next prime is 12417654017. The reversal of 12417654013 is 31045671421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12409514404 + 8139609 = 111398^2 + 2853^2 .

It is an emirp because it is prime and its reverse (31045671421) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12417654013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12417654013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12417654017) 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, 6208827006 + 6208827007.

It is an arithmetic number, because the mean of its divisors is an integer number (6208827007).

Almost surely, 212417654013 is an apocalyptic number.

It is an amenable number.

12417654013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12417654013 is an equidigital number, since it uses as much as digits as its factorization.

12417654013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 12417654013 in words is "twelve billion, four hundred seventeen million, six hundred fifty-four thousand, thirteen".