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11918820300 = 22352211188291
BaseRepresentation
bin10110001100110101…
…01100001111001100
31010202122100210201220
423012122230033030
5143402204222200
65250405403340
7601234205142
oct130632541714
933678323656
1011918820300
115066955112
122387709550
13117c3b04ba
14810d29592
1549b5874a0
hex2c66ac3cc

11918820300 has 72 divisors (see below), whose sum is σ = 34648740672. Its totient is φ = 3163272000.

The previous prime is 11918820269. The next prime is 11918820313. The reversal of 11918820300 is 302881911.

11918820300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 30846 + ... + 157445.

Almost surely, 211918820300 is an apocalyptic number.

11918820300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11918820300 is an abundant number, since it is smaller than the sum of its proper divisors (22729920372).

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

11918820300 is a wasteful number, since it uses less digits than its factorization.

11918820300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188519 (or 188512 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 11918820300 in words is "eleven billion, nine hundred eighteen million, eight hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 844 1055 1266 2110 2532 3165 4220 5275 6330 10550 12660 15825 21100 31650 63300 188291 376582 564873 753164 941455 1129746 1882910 2259492 2824365 3765820 4707275 5648730 9414550 11297460 14121825 18829100 28243650 39729401 56487300 79458802 119188203 158917604 198647005 238376406 397294010 476752812 595941015 794588020 993235025 1191882030 1986470050 2383764060 2979705075 3972940100 5959410150 11918820300