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12131404131 = 3711479310957
BaseRepresentation
bin10110100110001011…
…01000100101100011
31011022110101011221010
423103011220211203
5144321114413011
65323442032003
7606425143110
oct132305504543
934273334833
1012131404131
115165952530
122426948603
1311b4452452
14831265907
154b007a1a6
hex2d3168963

12131404131 has 32 divisors (see below), whose sum is σ = 20172538368. Its totient is φ = 6300138240.

The previous prime is 12131404123. The next prime is 12131404141. The reversal of 12131404131 is 13140413121.

It is not a de Polignac number, because 12131404131 - 23 = 12131404123 is a prime.

It is a super-2 number, since 2×121314041312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12131404098 and 12131404107.

It is not an unprimeable number, because it can be changed into a prime (12131404141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101705 + ... + 1112661.

It is an arithmetic number, because the mean of its divisors is an integer number (630391824).

Almost surely, 212131404131 is an apocalyptic number.

12131404131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12131404131 is a deficient number, since it is larger than the sum of its proper divisors (8041134237).

12131404131 is a wasteful number, since it uses less digits than its factorization.

12131404131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12131404131 its reverse (13140413121), we get a palindrome (25271817252).

The spelling of 12131404131 in words is "twelve billion, one hundred thirty-one million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 4793 10957 14379 32871 33551 52723 76699 100653 120527 158169 230097 361581 369061 843689 1107183 2531067 52516901 157550703 367618307 577685911 1102854921 1733057733 4043801377 12131404131