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221111000111122 = 211243533467115637
BaseRepresentation
bin110010010001100101101010…
…100111100001100000010010
31001222220000010202210212121221
4302101211222213201200102
5212440140312012023442
62102132554031435254
764400512464431662
oct6221455247414022
91058800122725557
10221111000111122
11644a8715235700
1220970962685b2a
13964b8a72b3c74
143c85b882481a2
151a86910488467
hexc9196a9e1812

221111000111122 has 96 divisors (see below), whose sum is σ = 380188514414016. Its totient is φ = 96286840890240.

The previous prime is 221111000110997. The next prime is 221111000111137.

221111000111122 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221111000111096 and 221111000111105.

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, 1912055088 + ... + 1912170724.

It is an arithmetic number, because the mean of its divisors is an integer number (3960297025146).

Almost surely, 2221111000111122 is an apocalyptic number.

221111000111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221111000111122 is a deficient number, since it is larger than the sum of its proper divisors (159077514302894).

221111000111122 is a wasteful number, since it uses less digits than its factorization.

221111000111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119224 (or 119213 counting only the distinct ones).

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

It can be divided in two parts, 221111000 and 111122, that added together give a palindrome (221222122).

The spelling of 221111000111122 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 22 43 53 86 106 121 242 473 583 946 1166 2279 3467 4558 5203 6413 6934 10406 12826 25069 38137 50138 76274 115637 149081 183751 231274 275759 298162 367502 419507 551518 839014 1272007 1639891 2021261 2544014 3279782 4042522 4972391 6128761 7901293 9944782 12257522 13992077 15802586 18038801 22233871 27984154 36077602 44467742 54696301 67416371 86914223 109392602 134832742 173828446 263536723 400913479 527073446 601659311 741580081 801826958 956056453 1203318622 1483160162 1912112906 2898903953 4410048269 5797807906 8820096538 17239279597 21248414387 31887943483 34478559194 42496828774 48510530959 63775886966 97021061918 189632075567 233732558257 379264151134 467465116514 913681818641 1827363637282 2085952831237 2571058140827 4171905662474 5142116281654 10050500005051 20101000010102 110555500055561 221111000111122