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221112100000012 = 2213349108531122623
BaseRepresentation
bin110010010001100110101100…
…001011010001000100001100
31001222220002222102110000112111
4302101212230023101010030
5212440200040100000022
62102133255122113404
764400551651353064
oct6221465413210414
91058802872400474
10221112100000012
11644a912a084491
122097100aaab864
13964ba211261b0
143c85c503583a4
151a86976ceb477
hexc919ac2d110c

221112100000012 has 48 divisors (see below), whose sum is σ = 417944158732800. Its totient is φ = 101749859820288.

The previous prime is 221112100000009. The next prime is 221112100000019. The reversal of 221112100000012 is 210000001211122.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 221112099999938 and 221112100000001.

It is not an unprimeable number, because it can be changed into a prime (221112100000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196398933 + ... + 197521555.

It is an arithmetic number, because the mean of its divisors is an integer number (8707169973600).

Almost surely, 2221112100000012 is an apocalyptic number.

It is an amenable number.

221112100000012 is a deficient number, since it is larger than the sum of its proper divisors (196832058732788).

221112100000012 is a wasteful number, since it uses less digits than its factorization.

221112100000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133842 (or 1133840 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221112100000012 its reverse (210000001211122), we get a palindrome (431112101211134).

The spelling of 221112100000012 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 4 13 26 52 349 698 1396 4537 9074 10853 18148 21706 43412 141089 282178 564356 1122623 2245246 3787697 4490492 7575394 14594099 15150788 29188198 49240061 58376396 98480122 196960244 391795427 783590854 1567181708 5093340551 10186681102 12183827419 20373362204 24367654838 48735309676 158389756447 316779512894 633559025788 4252155769231 8504311538462 17008623076924 55278025000003 110556050000006 221112100000012