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12051113113 = 1326912972657
BaseRepresentation
bin10110011100100110…
…10110010010011001
31011002212021222100201
423032103112102121
5144140041104423
65311453102201
7604431525364
oct131623262231
934085258321
1012051113113
1151245a2716
122403a87961
1311a091c780
148247250db
154a7eba2ad
hex2ce4d6499

12051113113 has 16 divisors (see below), whose sum is σ = 13041317520. Its totient is φ = 11070038016.

The previous prime is 12051113029. The next prime is 12051113117. The reversal of 12051113113 is 31131115021.

12051113113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3196944 + 12047916169 = 1788^2 + 109763^2 .

It is a cyclic number.

It is not a de Polignac number, because 12051113113 - 213 = 12051104921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12051113117) 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 in 15 ways as a sum of consecutive naturals, for example, 4534281 + ... + 4536937.

It is an arithmetic number, because the mean of its divisors is an integer number (815082345).

Almost surely, 212051113113 is an apocalyptic number.

12051113113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12051113113 is a deficient number, since it is larger than the sum of its proper divisors (990204407).

12051113113 is a wasteful number, since it uses less digits than its factorization.

12051113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236.

The product of its (nonzero) digits is 90, while the sum is 19.

Adding to 12051113113 its reverse (31131115021), we get a palindrome (43182228134).

The spelling of 12051113113 in words is "twelve billion, fifty-one million, one hundred thirteen thousand, one hundred thirteen".

Divisors: 1 13 269 1297 2657 3497 16861 34541 348893 714733 3446129 4535609 9291529 44799677 927008701 12051113113