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12131311131 = 321759766301
BaseRepresentation
bin10110100110001010…
…10001111000011011
31011022110012110100200
423103011101320123
5144321103424011
65323440033243
7606424305012
oct132305217033
934273173320
1012131311131
115165899675
122426902823
1311b441c014
1483123da79
154b005c856
hex2d3151e1b

12131311131 has 12 divisors (see below), whose sum is σ = 17532989760. Its totient is φ = 8082932400.

The previous prime is 12131311123. The next prime is 12131311147. The reversal of 12131311131 is 13111313121.

12131311131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12131311131 - 23 = 12131311123 is a prime.

It is a super-2 number, since 2×121313111312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12131311531) 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 11 ways as a sum of consecutive naturals, for example, 367320 + ... + 398981.

It is an arithmetic number, because the mean of its divisors is an integer number (1461082480).

Almost surely, 212131311131 is an apocalyptic number.

12131311131 is a deficient number, since it is larger than the sum of its proper divisors (5401678629).

12131311131 is a wasteful number, since it uses less digits than its factorization.

12131311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768066 (or 768063 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 12131311131 its reverse (13111313121), we get a palindrome (25242624252).

The spelling of 12131311131 in words is "twelve billion, one hundred thirty-one million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 1759 5277 15831 766301 2298903 6896709 1347923459 4043770377 12131311131