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12100113252 = 2232598156197
BaseRepresentation
bin10110100010011100…
…10001001101100100
31011020021111102220200
423101032101031210
5144240112111002
65320403230500
7605565160053
oct132116211544
934207442820
1012100113252
11514a2201a7
122418378430
1311aab17a36
1482b03c39a
154ac448b1c
hex2d1391364

12100113252 has 36 divisors (see below), whose sum is σ = 30592055676. Its totient is φ = 4032624960.

The previous prime is 12100113241. The next prime is 12100113253. The reversal of 12100113252 is 25231100121.

It can be written as a sum of positive squares in 2 ways, for example, as 176783616 + 11923329636 = 13296^2 + 109194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×121001132522 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12100113253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187218 + ... + 243414.

Almost surely, 212100113252 is an apocalyptic number.

12100113252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100113252 is an abundant number, since it is smaller than the sum of its proper divisors (18491942424).

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

12100113252 is a wasteful number, since it uses less digits than its factorization.

12100113252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62188 (or 62183 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12100113252 its reverse (25231100121), we get a palindrome (37331213373).

The spelling of 12100113252 in words is "twelve billion, one hundred million, one hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5981 11962 17943 23924 35886 53829 56197 71772 107658 112394 168591 215316 224788 337182 505773 674364 1011546 2023092 336114257 672228514 1008342771 1344457028 2016685542 3025028313 4033371084 6050056626 12100113252