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12131102232 = 23322633371901
BaseRepresentation
bin10110100110001000…
…11110111000011000
31011022102210211210200
423103010132320120
5144321030232412
65323431342200
7606422444664
oct132304367030
934272724720
1012131102232
115165766727
122426821960
1311b4377c02
148311c78a4
154b001a9dc
hex2d311ee18

12131102232 has 96 divisors (see below), whose sum is σ = 33095256480. Its totient is φ = 4014259200.

The previous prime is 12131102227. The next prime is 12131102239. The reversal of 12131102232 is 23220113121.

12131102232 is a `hidden beast` number, since 121 + 311 + 0 + 2 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131102239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6380482 + ... + 6382382.

It is an arithmetic number, because the mean of its divisors is an integer number (344742255).

Almost surely, 212131102232 is an apocalyptic number.

12131102232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131102232 is an abundant number, since it is smaller than the sum of its proper divisors (20964154248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12131102232 is a wasteful number, since it uses less digits than its factorization.

12131102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12131102232 its reverse (23220113121), we get a palindrome (35351215353).

The spelling of 12131102232 in words is "twelve billion, one hundred thirty-one million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263 337 526 674 789 1011 1052 1348 1578 1901 2022 2104 2367 2696 3033 3156 3802 4044 4734 5703 6066 6312 7604 8088 9468 11406 12132 15208 17109 18936 22812 24264 34218 45624 68436 88631 136872 177262 265893 354524 499963 531786 640637 709048 797679 999926 1063572 1281274 1499889 1595358 1921911 1999852 2127144 2562548 2999778 3190716 3843822 3999704 4499667 5125096 5765733 5999556 6381432 7687644 8999334 11531466 11999112 15375288 17998668 23062932 35997336 46125864 168487531 336975062 505462593 673950124 1010925186 1347900248 1516387779 2021850372 3032775558 4043700744 6065551116 12131102232