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20212554100 = 22522310978011
BaseRepresentation
bin10010110100110000…
…110001100101110100
31221011122111010122211
4102310300301211310
5312343403212400
613141401103204
71313612606104
oct226460614564
957148433584
1020212554100
118632507072
123b01187b04
131ba17391ab
14d9a615204
157d4754dba
hex4b4c31974

20212554100 has 72 divisors (see below), whose sum is σ = 45815692608. Its totient is φ = 7725484800.

The previous prime is 20212554097. The next prime is 20212554137. The reversal of 20212554100 is 145521202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2519095 + ... + 2527105.

It is an arithmetic number, because the mean of its divisors is an integer number (636329064).

Almost surely, 220212554100 is an apocalyptic number.

20212554100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212554100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22907846304).

20212554100 is an abundant number, since it is smaller than the sum of its proper divisors (25603138508).

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

20212554100 is a wasteful number, since it uses less digits than its factorization.

20212554100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9145 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 20212554100 in words is "twenty billion, two hundred twelve million, five hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1097 1150 2194 2300 4388 5485 8011 10970 16022 21940 25231 27425 32044 40055 50462 54850 80110 100924 109700 126155 160220 184253 200275 252310 368506 400550 504620 630775 737012 801100 921265 1261550 1842530 2523100 3685060 4606325 8788067 9212650 17576134 18425300 35152268 43940335 87880670 175761340 202125541 219701675 404251082 439403350 808502164 878806700 1010627705 2021255410 4042510820 5053138525 10106277050 20212554100