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20407352100 = 22352451915053
BaseRepresentation
bin10011000000010111…
…110111101100100100
31221200020000220021120
4103000113313230210
5313243240231400
613213000213540
71321466426232
oct230027675444
957606026246
1020407352100
118722466753
123b5646a2b0
131c02bc1795
14db8441952
157e68d2ca0
hex4c05f7b24

20407352100 has 72 divisors (see below), whose sum is σ = 59062261440. Its totient is φ = 5440394880.

The previous prime is 20407352033. The next prime is 20407352197. The reversal of 20407352100 is 125370402.

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, 1348174 + ... + 1363226.

Almost surely, 220407352100 is an apocalyptic number.

20407352100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20407352100 is an abundant number, since it is smaller than the sum of its proper divisors (38654909340).

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

20407352100 is a wasteful number, since it uses less digits than its factorization.

20407352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19589 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 20407352100 in words is "twenty billion, four hundred seven million, three hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4519 9038 13557 15053 18076 22595 27114 30106 45159 45190 54228 60212 67785 75265 90318 90380 112975 135570 150530 180636 225795 225950 271140 301060 338925 376325 451590 451900 677850 752650 903180 1128975 1355700 1505300 2257950 4515900 68024507 136049014 204073521 272098028 340122535 408147042 680245070 816294084 1020367605 1360490140 1700612675 2040735210 3401225350 4081470420 5101838025 6802450700 10203676050 20407352100