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12531410113 is a prime number
BaseRepresentation
bin10111010101110111…
…00010010011000001
31012100100001120222111
423222323202103001
5201131020110423
65431251335321
7622353141235
oct135273422301
935310046874
1012531410113
115350721992
1225188b1541
131249296691
1486c42c5c5
154d524060d
hex2eaee24c1

12531410113 has 2 divisors, whose sum is σ = 12531410114. Its totient is φ = 12531410112.

The previous prime is 12531410077. The next prime is 12531410123. The reversal of 12531410113 is 31101413521.

It is a happy number.

12531410113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11998354369 + 533055744 = 109537^2 + 23088^2 .

It is a cyclic number.

It is not a de Polignac number, because 12531410113 - 29 = 12531409601 is a prime.

It is a super-3 number, since 3×125314101133 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12531410123) 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, 6265705056 + 6265705057.

It is an arithmetic number, because the mean of its divisors is an integer number (6265705057).

Almost surely, 212531410113 is an apocalyptic number.

It is an amenable number.

12531410113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12531410113 is an equidigital number, since it uses as much as digits as its factorization.

12531410113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 12531410113 its reverse (31101413521), we get a palindrome (43632823634).

The spelling of 12531410113 in words is "twelve billion, five hundred thirty-one million, four hundred ten thousand, one hundred thirteen".