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221121002112102 = 23212284500117339
BaseRepresentation
bin110010010001101110111110…
…110010001000010001100110
31001222220221221211100011120200
4302101232332302020101212
5212440321303020041402
62102141330325211330
764401315365146461
oct6221567662102146
91058827854304520
10221121002112102
1164501988097014
1220972894260b46
13964c80c522141
143c8645676c2d8
151a86ce85de21c
hexc91bbec88466

221121002112102 has 12 divisors (see below), whose sum is σ = 479095504576260. Its totient is φ = 73707000704028.

The previous prime is 221121002112091. The next prime is 221121002112193. The reversal of 221121002112102 is 201211200121122.

221121002112102 is a `hidden beast` number, since 22 + 11 + 210 + 0 + 211 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12284500117339 = 221121002112102 / (2 + 2 + 1 + 1 + 2 + 1 + 0 + 0 + 2 + 1 + 1 + 2 + 1 + 0 + 2).

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 5 ways as a sum of consecutive naturals, for example, 6142250058652 + ... + 6142250058687.

It is an arithmetic number, because the mean of its divisors is an integer number (39924625381355).

Almost surely, 2221121002112102 is an apocalyptic number.

221121002112102 is an abundant number, since it is smaller than the sum of its proper divisors (257974502464158).

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

221121002112102 is a wasteful number, since it uses less digits than its factorization.

221121002112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284500117347 (or 12284500117344 counting only the distinct ones).

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

Adding to 221121002112102 its reverse (201211200121122), we get a palindrome (422332202233224).

The spelling of 221121002112102 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 12284500117339 24569000234678 36853500352017 73707000704034 110560501056051 221121002112102