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12131041131 = 32111910196329
BaseRepresentation
bin10110100110001000…
…01111111101101011
31011022102200201222200
423103010033331223
5144321021304011
65323430151243
7606422101566
oct132304177553
934272621880
1012131041131
115165724830
1224267b2523
1311b4356161
148311ad4dd
154b0007856
hex2d310ff6b

12131041131 has 48 divisors (see below), whose sum is σ = 20144592000. Its totient is φ = 6957256320.

The previous prime is 12131041129. The next prime is 12131041151. The reversal of 12131041131 is 13114013121.

It is a happy number.

12131041131 is a `hidden beast` number, since 1 + 213 + 10 + 411 + 31 = 666.

It is not a de Polignac number, because 12131041131 - 21 = 12131041129 is a prime.

It is a super-2 number, since 2×121310411312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12131041121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913575 + ... + 1919903.

It is an arithmetic number, because the mean of its divisors is an integer number (419679000).

Almost surely, 212131041131 is an apocalyptic number.

12131041131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12131041131 is a deficient number, since it is larger than the sum of its proper divisors (8013550869).

12131041131 is a wasteful number, since it uses less digits than its factorization.

12131041131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12131041131 its reverse (13114013121), we get a palindrome (25245054252).

The spelling of 12131041131 in words is "twelve billion, one hundred thirty-one million, forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1019 1881 3057 6329 9171 11209 18987 19361 33627 56961 58083 69619 100881 120251 174249 208857 212971 360753 626571 638913 1082259 1322761 1916739 3968283 6449251 11904849 19347753 58043259 70941761 122535769 212825283 367607307 638475849 1102821921 1347893459 4043680377 12131041131