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222210112102101 = 3224690012455789
BaseRepresentation
bin110010100001100101010010…
…110011000001111011010101
31002010210002010202221002222200
4302201211102303001323111
5213111142302144231401
62104333525524115113
764543102504261644
oct6241452263017325
91063702122832880
10222210112102101
1164891863304342
1220b09984b35a99
1396cb4291036c6
143cc30537d735b
151aa52dceca686
hexca1952cc1ed5

222210112102101 has 6 divisors (see below), whose sum is σ = 320970161925270. Its totient is φ = 148140074734728.

The previous prime is 222210112102061. The next prime is 222210112102241. The reversal of 222210112102101 is 101201211012222.

222210112102101 is a `hidden beast` number, since 2 + 22 + 210 + 11 + 210 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 220902050975076 + 1308061127025 = 14862774^2 + 1143705^2 .

It is not a de Polignac number, because 222210112102101 - 222 = 222210107907797 is a prime.

It is a super-2 number, since 2×2222101121021012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222210112109101) by changing a digit.

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, 12345006227886 + ... + 12345006227903.

It is an arithmetic number, because the mean of its divisors is an integer number (53495026987545).

Almost surely, 2222210112102101 is an apocalyptic number.

It is an amenable number.

222210112102101 is a deficient number, since it is larger than the sum of its proper divisors (98760049823169).

222210112102101 is a wasteful number, since it uses less digits than its factorization.

222210112102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24690012455795 (or 24690012455792 counting only the distinct ones).

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

Adding to 222210112102101 its reverse (101201211012222), we get a palindrome (323411323114323).

The spelling of 222210112102101 in words is "two hundred twenty-two trillion, two hundred ten billion, one hundred twelve million, one hundred two thousand, one hundred one".

Divisors: 1 3 9 24690012455789 74070037367367 222210112102101