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221111100101112 = 233134246716688003
BaseRepresentation
bin110010010001100101110000…
…100100111101000111111000
31001222220000101201221220002220
4302101211300210331013320
5212440141013111213422
62102133012002524040
764400515120352664
oct6221456044750770
91058800351856086
10221111100101112
11644a876671a661
1220970990066620
13964b8c1c23040
143c85b976358a4
151a86919139e5c
hexc9197093d1f8

221111100101112 has 64 divisors (see below), whose sum is σ = 595313169252480. Its totient is φ = 68032578521472.

The previous prime is 221111100101093. The next prime is 221111100101137. The reversal of 221111100101112 is 211101001111122.

It is a junction number, because it is equal to n+sod(n) for n = 221111100101091 and 221111100101100.

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 15 ways as a sum of consecutive naturals, for example, 4905703 + ... + 21593705.

It is an arithmetic number, because the mean of its divisors is an integer number (9301768269570).

Almost surely, 2221111100101112 is an apocalyptic number.

It is an amenable number.

221111100101112 is an abundant number, since it is smaller than the sum of its proper divisors (374202069151368).

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

221111100101112 is a wasteful number, since it uses less digits than its factorization.

221111100101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730492 (or 16730488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 221111100101112 its reverse (211101001111122), we get a palindrome (432212101212234).

It can be divided in two parts, 22111110010 and 1112, that added together give a palindrome (22111111122).

The spelling of 221111100101112 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 42467 84934 127401 169868 254802 339736 509604 552071 1019208 1104142 1656213 2208284 3312426 4416568 6624852 13249704 16688003 33376006 50064009 66752012 100128018 133504024 200256036 216944039 400512072 433888078 650832117 867776156 1301664234 1735552312 2603328468 5206656936 708689423401 1417378846802 2126068270203 2834757693604 4252136540406 5669515387208 8504273080812 9212962504213 17008546161624 18425925008426 27638887512639 36851850016852 55277775025278 73703700033704 110555550050556 221111100101112