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221113200310200 = 2332521136131309079
BaseRepresentation
bin110010010001100111101101…
…110000100111011110111000
31001222220012211002212120100200
4302101213231300213132320
5212440204313234411300
62102134000225402200
764400621142010362
oct6221475560473670
91058805732776320
10221113200310200
11644a9644190850
1220971277499360
13964bb68085103
143c85d16537d32
151a869dd6e4200
hexc919edc277b8

221113200310200 has 288 divisors, whose sum is σ = 810103402742400. Its totient is φ = 53601543072000.

The previous prime is 221113200310181. The next prime is 221113200310259. The reversal of 221113200310200 is 2013002311122.

221113200310200 is a `hidden beast` number, since 2 + 2 + 1 + 11 + 320 + 0 + 310 + 20 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 715239261 + ... + 715548339.

It is an arithmetic number, because the mean of its divisors is an integer number (2812859037300).

Almost surely, 2221113200310200 is an apocalyptic number.

221113200310200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221113200310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405051701371200).

221113200310200 is an abundant number, since it is smaller than the sum of its proper divisors (588990202432200).

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

221113200310200 is a wasteful number, since it uses less digits than its factorization.

221113200310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345243 (or 345231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221113200310200 its reverse (2013002311122), we get a palindrome (223126202621322).

The spelling of 221113200310200 in words is "two hundred twenty-one trillion, one hundred thirteen billion, two hundred million, three hundred ten thousand, two hundred".