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12400965900 = 22325213778851
BaseRepresentation
bin10111000110010011…
…11011100100001100
31012000020121100011100
423203021323210030
5200344121402100
65410311423100
7616210320351
oct134311734414
935006540140
1012400965900
115294027254
1224a1084a90
13122825395b
14858d94628
154c8a75400
hex2e327b90c

12400965900 has 54 divisors (see below), whose sum is σ = 38870141492. Its totient is φ = 3306924000.

The previous prime is 12400965887. The next prime is 12400965919. The reversal of 12400965900 is 956900421.

12400965900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6888526 + ... + 6890325.

Almost surely, 212400965900 is an apocalyptic number.

12400965900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400965900 is an abundant number, since it is smaller than the sum of its proper divisors (26469175592).

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

12400965900 is a wasteful number, since it uses less digits than its factorization.

12400965900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13778871 (or 13778861 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12400965900 in words is "twelve billion, four hundred million, nine hundred sixty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13778851 27557702 41336553 55115404 68894255 82673106 124009659 137788510 165346212 206682765 248019318 275577020 344471275 413365530 496038636 620048295 688942550 826731060 1033413825 1240096590 1377885100 2066827650 2480193180 3100241475 4133655300 6200482950 12400965900