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12131414313 = 3101383104537
BaseRepresentation
bin10110100110001011…
…01011000100101001
31011022110101200220020
423103011223010221
5144321120224223
65323442151053
7606425214564
oct132305530451
934273350806
1012131414313
11516595a147
122426952489
1311b4456c85
148312694db
154b007d1e3
hex2d316b129

12131414313 has 16 divisors (see below), whose sum is σ = 16378177536. Its totient is φ = 7986550400.

The previous prime is 12131414279. The next prime is 12131414369. The reversal of 12131414313 is 31341413121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12131414313 - 26 = 12131414249 is a prime.

It is a super-2 number, since 2×121314143132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12131415313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63781 + ... + 168317.

It is an arithmetic number, because the mean of its divisors is an integer number (1023636096).

Almost surely, 212131414313 is an apocalyptic number.

It is an amenable number.

12131414313 is a deficient number, since it is larger than the sum of its proper divisors (4246763223).

12131414313 is a wasteful number, since it uses less digits than its factorization.

12131414313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105024.

The product of its digits is 864, while the sum is 24.

Adding to 12131414313 its reverse (31341413121), we get a palindrome (43472827434).

The spelling of 12131414313 in words is "twelve billion, one hundred thirty-one million, four hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 101 303 383 1149 38683 104537 116049 313611 10558237 31674711 40037671 120113013 4043804771 12131414313