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12131055306 = 232805383689
BaseRepresentation
bin10110100110001000…
…10011011011001010
31011022102201110102200
423103010103123022
5144321022232211
65323430341030
7606422161116
oct132304233312
934272643380
1012131055306
115165734447
1224267ba776
1311b435c746
148311b4746
154b000bb56
hex2d31136ca

12131055306 has 24 divisors (see below), whose sum is σ = 26287531140. Its totient is φ = 4043134656.

The previous prime is 12131055271. The next prime is 12131055353. The reversal of 12131055306 is 60355013121.

12131055306 is a `hidden beast` number, since 1 + 21 + 3 + 105 + 530 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10866186081 + 1264869225 = 104241^2 + 35565^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12131055306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103110 + ... + 186798.

Almost surely, 212131055306 is an apocalyptic number.

12131055306 is an abundant number, since it is smaller than the sum of its proper divisors (14156475834).

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

12131055306 is a wasteful number, since it uses less digits than its factorization.

12131055306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91750 (or 91747 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 12131055306 its reverse (60355013121), we get a palindrome (72486068427).

The spelling of 12131055306 in words is "twelve billion, one hundred thirty-one million, fifty-five thousand, three hundred six".

Divisors: 1 2 3 6 9 18 8053 16106 24159 48318 72477 83689 144954 167378 251067 502134 753201 1506402 673947517 1347895034 2021842551 4043685102 6065527653 12131055306