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111100211110020 = 223511185167909091
BaseRepresentation
bin11001010000101110001000…
…100111100010000010000100
3112120101002001201212001100110
4121100232020213202002010
5104030231213021010040
61032142422110113020
732254503541613316
oct3120561047420204
9476332051761313
10111100211110020
1132444375882280
1210563b6baab770
1349cb921a238b2
141d613c947d7b6
15cc9e889b4980
hex650b889e2084

111100211110020 has 96 divisors (see below), whose sum is σ = 339362850871296. Its totient is φ = 26933209430400.

The previous prime is 111100211109991. The next prime is 111100211110027. The reversal of 111100211110020 is 20011112001111.

It is a super-2 number, since 2×1111002111100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111100211109978 and 111100211110005.

It is not an unprimeable number, because it can be changed into a prime (111100211110027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121755675 + ... + 122664765.

It is an arithmetic number, because the mean of its divisors is an integer number (3535029696576).

Almost surely, 2111100211110020 is an apocalyptic number.

111100211110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100211110020 is an abundant number, since it is smaller than the sum of its proper divisors (228262639761276).

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

111100211110020 is a wasteful number, since it uses less digits than its factorization.

111100211110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094281 (or 1094279 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111100211110020 its reverse (20011112001111), we get a palindrome (131111323111131).

The spelling of 111100211110020 in words is "one hundred eleven trillion, one hundred billion, two hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 185167 370334 555501 740668 909091 925835 1111002 1818182 1851670 2036837 2222004 2727273 2777505 3636364 3703340 4073674 4545455 5454546 5555010 6110511 8147348 9090910 10000001 10184185 10909092 11110020 12221022 13636365 18181820 20000002 20368370 24442044 27272730 30000003 30552555 40000004 40736740 50000005 54545460 60000006 61105110 100000010 120000012 122210220 150000015 200000020 300000030 600000060 168333653197 336667306394 505000959591 673334612788 841668265985 1010001919182 1683336531970 1851670185167 2020003838364 2525004797955 3366673063940 3703340370334 5050009595910 5555010555501 7406680740668 9258350925835 10100019191820 11110021111002 18516701851670 22220042222004 27775052777505 37033403703340 55550105555010 111100211110020