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12841648013 is a prime number
BaseRepresentation
bin10111111010110101…
…11111111110001101
31020010221211022101002
423331122333332031
5202244430214023
65522133030045
7633141131015
oct137532777615
936127738332
1012841648013
11549a859247
1225a4785325
13129863a3bc
1489b708c45
155025c2b28
hex2fd6bff8d

12841648013 has 2 divisors, whose sum is σ = 12841648014. Its totient is φ = 12841648012.

The previous prime is 12841647961. The next prime is 12841648031. The reversal of 12841648013 is 31084614821.

Together with next prime (12841648031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11591106244 + 1250541769 = 107662^2 + 35363^2 .

It is a cyclic number.

It is not a de Polignac number, because 12841648013 - 210 = 12841646989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12841648073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6420824006 + 6420824007.

It is an arithmetic number, because the mean of its divisors is an integer number (6420824007).

Almost surely, 212841648013 is an apocalyptic number.

It is an amenable number.

12841648013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12841648013 is an equidigital number, since it uses as much as digits as its factorization.

12841648013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 12841648013 in words is "twelve billion, eight hundred forty-one million, six hundred forty-eight thousand, thirteen".