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12113322400 = 255215141653
BaseRepresentation
bin10110100100000001…
…01010000110100000
31011021012100112110101
423102000222012200
5144302002304100
65321554312144
7606115353514
oct132200520640
934235315411
1012113322400
115156722453
122420888654
1311b07911ba
1482caba144
154ad6a786a
hex2d202a1a0

12113322400 has 36 divisors (see below), whose sum is σ = 29571650262. Its totient is φ = 4845328640.

The previous prime is 12113322371. The next prime is 12113322401. The reversal of 12113322400 is 422331121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11047691664 + 1065630736 = 105108^2 + 32644^2 .

It is not an unprimeable number, because it can be changed into a prime (12113322401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 7570027 + ... + 7571626.

Almost surely, 212113322400 is an apocalyptic number.

12113322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113322400 is an abundant number, since it is smaller than the sum of its proper divisors (17458327862).

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

12113322400 is a wasteful number, since it uses less digits than its factorization.

12113322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15141673 (or 15141660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12113322400 its reverse (422331121), we get a palindrome (12535653521).

The spelling of 12113322400 in words is "twelve billion, one hundred thirteen million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15141653 30283306 60566612 75708265 121133224 151416530 242266448 302833060 378541325 484532896 605666120 757082650 1211332240 1514165300 2422664480 3028330600 6056661200 12113322400