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220112330220112 = 24117186320410919
BaseRepresentation
bin110010000011000011100101…
…010000001110001001010000
31001212100112101202012222122211
4302003003211100032021100
5212322310023014020422
62100050113014041504
764235406510424501
oct6203034520161120
91055315352188584
10220112330220112
116415312a102340
122082b2b2049294
1395a8671765b85
143c4d6ca71cba8
151a6a9608ad577
hexc830e540e250

220112330220112 has 80 divisors (see below), whose sum is σ = 472336774225920. Its totient is φ = 98527583369600.

The previous prime is 220112330220109. The next prime is 220112330220127. The reversal of 220112330220112 is 211022033211022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 578589 + ... + 20989507.

It is an arithmetic number, because the mean of its divisors is an integer number (5904209677824).

Almost surely, 2220112330220112 is an apocalyptic number.

220112330220112 is a gapful number since it is divisible by the number (22) 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 220112330220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236168387112960).

220112330220112 is an abundant number, since it is smaller than the sum of its proper divisors (252224444005808).

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

220112330220112 is a wasteful number, since it uses less digits than its factorization.

220112330220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20411872 (or 20411866 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 220112330220112 its reverse (211022033211022), we get a palindrome (431134363431134).

The spelling of 220112330220112 in words is "two hundred twenty trillion, one hundred twelve billion, three hundred thirty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 863 1136 1562 1726 3124 3452 6248 6904 9493 12496 13808 18986 37972 61273 75944 122546 151888 245092 490184 674003 980368 1348006 2696012 5392024 10784048 20410919 40821838 81643676 163287352 224520109 326574704 449040218 898080436 1449175249 1796160872 2898350498 3592321744 5796700996 11593401992 15940927739 17614623097 23186803984 31881855478 35229246194 63763710956 70458492388 127527421912 140916984776 193760854067 255054843824 281833969552 387521708134 775043416268 1250638239887 1550086832536 2501276479774 3100173665072 5002552959548 10005105919096 13757020638757 20010211838192 27514041277514 55028082555028 110056165110056 220112330220112