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222013430102133 = 32431453394823203
BaseRepresentation
bin110010011110101110000111…
…101000101111100001110101
31002010002021110200001021212100
4302132232013220233201311
5213044432001101232013
62104103321202212313
764522640522666265
oct6236560750574165
91063067420037770
10222013430102133
116481640446172a
1220a97834654099
1396b5a13329877
143cb77162597a5
151aa012aeb2473
hexc9eb87a2f875

222013430102133 has 24 divisors (see below), whose sum is σ = 328369720888352. Its totient is φ = 144467388904608.

The previous prime is 222013430102077. The next prime is 222013430102171. The reversal of 222013430102133 is 331201034310222.

222013430102133 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 1 + 3 + 430 + 10 + 213 + 3 = 666.

It is not a de Polignac number, because 222013430102133 - 213 = 222013430093941 is a prime.

It is a super-3 number, since 3×2220134301021333 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222013430102097 and 222013430102106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222013430102033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196849291 + ... + 197973912.

Almost surely, 2222013430102133 is an apocalyptic number.

It is an amenable number.

222013430102133 is a deficient number, since it is larger than the sum of its proper divisors (106356290786219).

222013430102133 is a wasteful number, since it uses less digits than its factorization.

222013430102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394824705 (or 394824702 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 222013430102133 its reverse (331201034310222), we get a palindrome (553214464412355).

The spelling of 222013430102133 in words is "two hundred twenty-two trillion, thirteen billion, four hundred thirty million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 43 129 387 1453 4359 13077 62479 187437 562311 394823203 1184469609 3553408827 16977397729 50932193187 152796579561 573678113959 1721034341877 5163103025631 24668158900237 74004476700711 222013430102133