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12131010112 = 261314580541
BaseRepresentation
bin10110100110001000…
…01000011001000000
31011022102122011102211
423103010020121000
5144321014310422
65323425351504
7606421612264
oct132304103100
934272564384
1012131010112
1151657034a1
122426798594
1311b4344cc0
148311a20a4
154aeeed577
hex2d3108640

12131010112 has 28 divisors (see below), whose sum is σ = 25924203676. Its totient is φ = 5598927360.

The previous prime is 12131010079. The next prime is 12131010181. The reversal of 12131010112 is 21101013121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 565298176 + 11565711936 = 23776^2 + 107544^2 .

It is a super-2 number, since 2×121310101122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12131010092 and 12131010101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7289439 + ... + 7291102.

It is an arithmetic number, because the mean of its divisors is an integer number (925864417).

Almost surely, 212131010112 is an apocalyptic number.

It is an amenable number.

12131010112 is an abundant number, since it is smaller than the sum of its proper divisors (13793193564).

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

12131010112 is a wasteful number, since it uses less digits than its factorization.

12131010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14580566 (or 14580556 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12131010112 its reverse (21101013121), we get a palindrome (33232023233).

The spelling of 12131010112 in words is "twelve billion, one hundred thirty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 14580541 29161082 58322164 116644328 189547033 233288656 379094066 466577312 758188132 933154624 1516376264 3032752528 6065505056 12131010112