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220021221210100 = 22528093426779367
BaseRepresentation
bin110010000001101110101110…
…101110111011011111110100
31001212000211020012112201210121
4302001232232232323133310
5212314311430112210400
62055540204215501324
764226002653550552
oct6201565656733764
91055024205481717
10220021221210100
1164118526482652
1220815705987844
13959cbb1c59b6b
143c49126418bd2
151a683cbebb21a
hexc81baebbb7f4

220021221210100 has 72 divisors (see below), whose sum is σ = 478056191820480. Its totient is φ = 87896029105920.

The previous prime is 220021221210061. The next prime is 220021221210113. The reversal of 220021221210100 is 1012122120022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772160617 + ... + 2772239983.

It is an arithmetic number, because the mean of its divisors is an integer number (6639669330840).

Almost surely, 2220021221210100 is an apocalyptic number.

220021221210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021221210100 is an abundant number, since it is smaller than the sum of its proper divisors (258034970610380).

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

220021221210100 is a wasteful number, since it uses less digits than its factorization.

220021221210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114457 (or 114450 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220021221210100 its reverse (1012122120022), we get a palindrome (221033343330122).

The spelling of 220021221210100 in words is "two hundred twenty trillion, twenty-one billion, two hundred twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 809 1618 3236 4045 8090 16180 20225 34267 40450 68534 79367 80900 137068 158734 171335 317468 342670 396835 685340 793670 856675 1587340 1713350 1984175 3426700 3968350 7936700 27722003 55444006 64207903 110888012 128415806 138610015 256831612 277220030 321039515 554440060 642079030 693050075 1284158060 1386100150 1605197575 2719668989 2772200300 3210395150 5439337978 6420790300 10878675956 13598344945 27196689890 54393379780 67991724725 135983449450 271966898900 2200212212101 4400424424202 8800848848404 11001061060505 22002122121010 44004244242020 55005305302525 110010610605050 220021221210100