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20105522325 = 35527472793
BaseRepresentation
bin10010101110011000…
…011110110010010101
31220220012002100200000
4102232120132302111
5312134003203300
613123015041513
71311143056110
oct225630366225
956805070600
1020105522325
118588052559
123a91370299
131b85502b95
14d8a313577
157ca161c00
hex4ae61ec95

20105522325 has 72 divisors (see below), whose sum is σ = 42680059968. Its totient is φ = 9191076480.

The previous prime is 20105522293. The next prime is 20105522383. The reversal of 20105522325 is 52322550102.

20105522325 is a `hidden beast` number, since 2 + 0 + 105 + 522 + 32 + 5 = 666.

It is not a de Polignac number, because 20105522325 - 25 = 20105522293 is a prime.

It is a super-2 number, since 2×201055223252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193872 + ... + 278921.

Almost surely, 220105522325 is an apocalyptic number.

20105522325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20105522325 is an abundant number, since it is smaller than the sum of its proper divisors (22574537643).

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

20105522325 is an equidigital number, since it uses as much as digits as its factorization.

20105522325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472825 (or 472808 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 20105522325 in words is "twenty billion, one hundred five million, five hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 945 1215 1575 1701 2025 2835 4725 6075 8505 14175 42525 472793 1418379 2363965 3309551 4255137 7091895 9928653 11819825 12765411 16547755 21275685 29785959 35459475 38296233 49643265 63827055 82738775 89357877 106378425 114888699 148929795 191481165 248216325 268073631 319135275 446789385 574443495 744648975 804220893 957405825 1340368155 2233946925 2872217475 4021104465 6701840775 20105522325