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12311517013 is a prime number
BaseRepresentation
bin10110111011101001…
…01101011101010101
31011210000021212100121
423131310231131111
5200203222021023
65353354311541
7614043111415
oct133564553525
934700255317
1012311517013
115248591a54
1224771285b1
131212865813
1484b14c645
154c0ca6d5d
hex2ddd2d755

12311517013 has 2 divisors, whose sum is σ = 12311517014. Its totient is φ = 12311517012.

The previous prime is 12311516989. The next prime is 12311517047. The reversal of 12311517013 is 31071511321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11954798244 + 356718769 = 109338^2 + 18887^2 .

It is an emirp because it is prime and its reverse (31071511321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12311517013 - 229 = 11774646101 is a prime.

It is a super-2 number, since 2×123115170132 (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 (12311517083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6155758506 + 6155758507.

It is an arithmetic number, because the mean of its divisors is an integer number (6155758507).

Almost surely, 212311517013 is an apocalyptic number.

It is an amenable number.

12311517013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12311517013 is an equidigital number, since it uses as much as digits as its factorization.

12311517013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The spelling of 12311517013 in words is "twelve billion, three hundred eleven million, five hundred seventeen thousand, thirteen".