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220112120010222 = 232117954172597723
BaseRepresentation
bin110010000011000011011000…
…101110010101010111101110
31001212100111212002200012220100
4302003003120232111113232
5212322304110210311342
62100050040104331530
764235401345604616
oct6203033056252756
91055314762605810
10220112120010222
1164153031486560
122082b253773ba6
1395a863a04561b
143c4d6aa83da46
151a6a94c1d8e4c
hexc830d8b955ee

220112120010222 has 96 divisors (see below), whose sum is σ = 526948105582080. Its totient is φ = 65844147807360.

The previous prime is 220112120010217. The next prime is 220112120010319. The reversal of 220112120010222 is 222010021211022.

It is a happy number.

220112120010222 is a `hidden beast` number, since 220 + 1 + 1 + 21 + 200 + 1 + 0 + 222 = 666.

220112120010222 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220112120010195 and 220112120010204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83433853 + ... + 86031575.

It is an arithmetic number, because the mean of its divisors is an integer number (5489042766480).

Almost surely, 2220112120010222 is an apocalyptic number.

220112120010222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220112120010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263474052791040).

220112120010222 is an abundant number, since it is smaller than the sum of its proper divisors (306835985571858).

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

220112120010222 is a wasteful number, since it uses less digits than its factorization.

220112120010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603238 (or 2603235 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220112120010222 its reverse (222010021211022), we get a palindrome (442122141221244).

The spelling of 220112120010222 in words is "two hundred twenty trillion, one hundred twelve billion, one hundred twenty million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 5214 5417 7821 10834 15642 16251 32502 48753 59587 97506 119174 178761 357522 427943 536283 855886 1072566 1283829 2567658 2597723 3851487 4707373 5195446 7702974 7793169 9414746 14122119 15586338 23379507 28244238 28574953 42366357 46759014 57149906 84732714 85724859 171449718 205220117 257174577 410440234 514349154 615660351 1231320702 1846981053 2257421287 3693962106 4514842574 6772263861 13544527722 14071865491 20316791583 28143730982 40633583166 42215596473 84431192946 126646789419 154790520401 253293578838 309581040802 464371561203 928743122406 1111677373789 1393114683609 2223354747578 2786229367218 3335032121367 6670064242734 10005096364101 12228451111679 20010192728202 24456902223358 36685353335037 73370706670074 110056060005111 220112120010222