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111022120120212 = 223271979222619489
BaseRepresentation
bin11001001111100101011010…
…000010000010111110010100
3112120002121111102212202000200
4121033211122002002332110
5104022441300222321322
61032042505145140500
732246040430266150
oct3117453202027624
9476077442782020
10111022120120212
1132414242515874
12105509b748a730
1349c4458258812
141d5b6dc076060
15cc7e17dd38ac
hex64f95a082f94

111022120120212 has 72 divisors (see below), whose sum is σ = 320892637665600. Its totient is φ = 31704577003008.

The previous prime is 111022120120201. The next prime is 111022120120273. The reversal of 111022120120212 is 212021021220111.

111022120120212 is a `hidden beast` number, since 1 + 1 + 10 + 221 + 201 + 20 + 212 = 666.

111022120120212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1110221201202122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110811037 + ... + 111808452.

It is an arithmetic number, because the mean of its divisors is an integer number (4456842189800).

Almost surely, 2111022120120212 is an apocalyptic number.

111022120120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111022120120212 is an abundant number, since it is smaller than the sum of its proper divisors (209870517545388).

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

111022120120212 is a wasteful number, since it uses less digits than its factorization.

111022120120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222621485 (or 222621480 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111022120120212 its reverse (212021021220111), we get a palindrome (323043141340323).

The spelling of 111022120120212 in words is "one hundred eleven trillion, twenty-two billion, one hundred twenty million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1979 3958 5937 7916 11874 13853 17811 23748 27706 35622 41559 55412 71244 83118 124677 166236 249354 498708 222619489 445238978 667858467 890477956 1335716934 1558336423 2003575401 2671433868 3116672846 4007150802 4675009269 6233345692 8014301604 9350018538 14025027807 18700037076 28050055614 56100111228 440563968731 881127937462 1321691906193 1762255874924 2643383812386 3083947781117 3965075718579 5286767624772 6167895562234 7930151437158 9251843343351 12335791124468 15860302874316 18503686686702 27755530030053 37007373373404 55511060060106 111022120120212