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12302122100 = 2252123021221
BaseRepresentation
bin10110111010100001…
…10111110001110100
31011202100121112221212
423131100313301310
5200143320401400
65352421100552
7613600212122
oct133520676164
934670545855
1012302122100
115243255464
122473b57758
1312109264b8
14849bc4912
154c004d335
hex2dd437c74

12302122100 has 18 divisors (see below), whose sum is σ = 26695605174. Its totient is φ = 4920848800.

The previous prime is 12302122087. The next prime is 12302122159. The reversal of 12302122100 is 122120321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1334587024 + 10967535076 = 36532^2 + 104726^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61510511 + ... + 61510710.

Almost surely, 212302122100 is an apocalyptic number.

12302122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302122100 is an abundant number, since it is smaller than the sum of its proper divisors (14393483074).

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

12302122100 is a wasteful number, since it uses less digits than its factorization.

12302122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123021235 (or 123021228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12302122100 its reverse (122120321), we get a palindrome (12424242421).

The spelling of 12302122100 in words is "twelve billion, three hundred two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 123021221 246042442 492084884 615106105 1230212210 2460424420 3075530525 6151061050 12302122100