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220100202000220 = 2253471151221312451
BaseRepresentation
bin110010000010111000010010…
…010110101110111101011100
31001212022101002111211120200111
4302002320102112232331130
5212322110203203001340
62100040345324135404
764234500121313023
oct6202702226567534
91055271074746614
10220100202000220
1164148a76035213
1220828a88397564
1395a748ab89bb9
143c4cc99a858ba
151a6a4a0c61aea
hexc82e125aef5c

220100202000220 has 96 divisors (see below), whose sum is σ = 464192096772096. Its totient is φ = 87663418080000.

The previous prime is 220100202000193. The next prime is 220100202000241. The reversal of 220100202000220 is 22000202001022.

220100202000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220100202000220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17677304995 + ... + 17677317445.

It is an arithmetic number, because the mean of its divisors is an integer number (4835334341376).

Almost surely, 2220100202000220 is an apocalyptic number.

220100202000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100202000220 is an abundant number, since it is smaller than the sum of its proper divisors (244091894771876).

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

220100202000220 is a wasteful number, since it uses less digits than its factorization.

220100202000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16171 (or 16169 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 220100202000220 its reverse (22000202001022), we get a palindrome (242100404001242).

The spelling of 220100202000220 in words is "two hundred twenty trillion, one hundred billion, two hundred two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 347 694 1151 1388 1735 2213 2302 3470 4426 4604 5755 6940 8852 11065 11510 12451 22130 23020 24902 44260 49804 62255 124510 249020 399397 767911 798794 1535822 1597588 1996985 2547163 3071644 3839555 3993970 4320497 5094326 7679110 7987940 8640994 10188652 12735815 14331101 15358220 17281988 21602485 25471630 27554063 28662202 43204970 50943260 55108126 57324404 71655505 86409940 110216252 137770315 143311010 275540630 286622020 551081260 883865561 1767731122 3535462244 4419327805 4972892047 8838655610 9561259861 9945784094 17677311220 19122519722 19891568188 24864460235 31714726513 38245039444 47806299305 49728920470 63429453026 95612598610 99457840940 126858906052 158573632565 191225197220 317147265130 634294530260 11005010100011 22010020200022 44020040400044 55025050500055 110050101000110 220100202000220