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12105511513 is a prime number
BaseRepresentation
bin10110100011000101…
…10111001001011001
31011020122122200221021
423101202313021121
5144243002332023
65321115042441
7605662102324
oct132142671131
934218580837
1012105511513
115152277a77
12241a140421
1311abc87b84
1482ba457bb
154acb6335d
hex2d18b7259

12105511513 has 2 divisors, whose sum is σ = 12105511514. Its totient is φ = 12105511512.

The previous prime is 12105511511. The next prime is 12105511567. The reversal of 12105511513 is 31511550121.

12105511513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10784407104 + 1321104409 = 103848^2 + 36347^2 .

It is a cyclic number.

It is not a de Polignac number, because 12105511513 - 21 = 12105511511 is a prime.

Together with 12105511511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12105511511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6052755756 + 6052755757.

It is an arithmetic number, because the mean of its divisors is an integer number (6052755757).

Almost surely, 212105511513 is an apocalyptic number.

It is an amenable number.

12105511513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12105511513 is an equidigital number, since it uses as much as digits as its factorization.

12105511513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 12105511513 in words is "twelve billion, one hundred five million, five hundred eleven thousand, five hundred thirteen".