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222112222121101 = 13173613278171237
BaseRepresentation
bin110010100000001010001000…
…000110011000110010001101
31002010102201110122122211122211
4302200022020012120302031
5213103041312330333401
62104220540214110421
764533035631206224
oct6240121006306215
91063381418584584
10222112222121101
116485429aa2a7a4
1220ab2a0594b411
1396c21287ac220
143cbc408aadcbb
151aa29ae136951
hexca0288198c8d

222112222121101 has 16 divisors (see below), whose sum is σ = 253338335241264. Its totient is φ = 192912864850944.

The previous prime is 222112222121099. The next prime is 222112222121113. The reversal of 222112222121101 is 101121222211222.

It can be written as a sum of positive squares in 8 ways, for example, as 28765255055625 + 193346967065476 = 5363325^2 + 13904926^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112222121101 - 21 = 222112222121099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112222121401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138287146 + ... + 139884091.

It is an arithmetic number, because the mean of its divisors is an integer number (15833645952579).

Almost surely, 2222112222121101 is an apocalyptic number.

It is an amenable number.

222112222121101 is a deficient number, since it is larger than the sum of its proper divisors (31226113120163).

222112222121101 is a wasteful number, since it uses less digits than its factorization.

222112222121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278174880.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 222112222121101 its reverse (101121222211222), we get a palindrome (323233444332323).

The spelling of 222112222121101 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 13 17 221 3613 46969 61421 798473 278171237 3616226081 4728911029 61475843377 1005032679281 13065424830653 17085555547777 222112222121101