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211222111211220 = 223597107893363839
BaseRepresentation
bin110000000001101011111010…
…111010000100111011010100
31000200212122012002201022222010
4300001223322322010323110
5210141130340432224340
62025122033123104220
762330202551611614
oct6001537272047324
91020778162638863
10211222111211220
116133588125873a
121b834315812070
1390b220c8c1825
143a232c1acaa44
151964589e67b80
hexc01afae84ed4

211222111211220 has 96 divisors (see below), whose sum is σ = 597574604390400. Its totient is φ = 55740033552384.

The previous prime is 211222111211183. The next prime is 211222111211239. The reversal of 211222111211220 is 22112111222112.

It is a super-2 number, since 2×2112221112112202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61110061 + ... + 64473899.

It is an arithmetic number, because the mean of its divisors is an integer number (6224735462400).

Almost surely, 2211222111211220 is an apocalyptic number.

211222111211220 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 211222111211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298787302195200).

211222111211220 is an abundant number, since it is smaller than the sum of its proper divisors (386352493179180).

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

211222111211220 is a wasteful number, since it uses less digits than its factorization.

211222111211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374737 (or 3374735 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211222111211220 its reverse (22112111222112), we get a palindrome (233334222433332).

The spelling of 211222111211220 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 10789 21578 32367 43156 53945 64734 107890 129468 161835 215780 323670 647340 1046533 2093066 3139599 3363839 4186132 5232665 6279198 6727678 10091517 10465330 12558396 13455356 15697995 16819195 20183034 20930660 31395990 33638390 40366068 50457585 62791980 67276780 100915170 201830340 326292383 652584766 978877149 1305169532 1631461915 1957754298 3262923830 3915508596 4894385745 6525847660 9788771490 19577542980 36292458971 72584917942 108877376913 145169835884 181462294855 217754753826 362924589710 435509507652 544386884565 725849179420 1088773769130 2177547538260 3520368520187 7040737040374 10561105560561 14081474080748 17601842600935 21122211121122 35203685201870 42244422242244 52805527802805 70407370403740 105611055605610 211222111211220