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221111212211120 = 24571135894677307
BaseRepresentation
bin110010010001100101110111…
…010000100111101110110000
31001222220000200112220200010102
4302101211313100213232300
5212440141230311223440
62102133031045451532
764400520651313220
oct6221456720475660
91058800615820112
10221111212211120
11644a8813a32560
1220970a01710ba8
13964b90c21691a
143c85ba849a080
151a86923dd2b15
hexc91977427bb0

221111212211120 has 80 divisors (see below), whose sum is σ = 640935358011648. Its totient is φ = 68917780427520.

The previous prime is 221111212211089. The next prime is 221111212211143. The reversal of 221111212211120 is 21112212111122.

It is a happy number.

221111212211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221111212211092 and 221111212211101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17947332494 + ... + 17947344813.

Almost surely, 2221111212211120 is an apocalyptic number.

221111212211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111212211120 is an abundant number, since it is smaller than the sum of its proper divisors (419824145800528).

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

221111212211120 is a wasteful number, since it uses less digits than its factorization.

221111212211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35894677338 (or 35894677332 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 221111212211120 its reverse (21112212111122), we get a palindrome (242223424322242).

The spelling of 221111212211120 in words is "two hundred twenty-one trillion, one hundred eleven billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 35894677307 71789354614 143578709228 179473386535 251262741149 287157418456 358946773070 394841450377 502525482298 574314836912 717893546140 789682900754 1005050964596 1256313705745 1435787092280 1579365801508 1974207251885 2010101929192 2512627411490 2763890152639 2871574184560 3158731603016 3948414503770 4020203858384 5025254822980 5527780305278 6317463206032 7896829007540 10050509645960 11055560610556 13819450763195 15793658015080 20101019291920 22111121221112 27638901526390 31587316030160 44222242442224 55277803052780 110555606105560 221111212211120