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222102110101122 = 23212339006116729
BaseRepresentation
bin110010100000000000101101…
…011000000101111010000010
31002010101202100221010000000100
4302200000231120011322002
5213102410110141213442
62104212144550303230
764532230223360346
oct6240005530057202
91063352327100010
10222102110101122
116484aa80a64499
1220ab0a63357b16
1396c11a6830154
143cbbb29b0b626
151aa25bb4ec84c
hexca002d605e82

222102110101122 has 12 divisors (see below), whose sum is σ = 481221238552470. Its totient is φ = 74034036700368.

The previous prime is 222102110101103. The next prime is 222102110101139. The reversal of 222102110101122 is 221101011201222.

222102110101122 is a `hidden beast` number, since 22 + 210 + 211 + 0 + 101 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199054823125041 + 23047286976081 = 14108679^2 + 4800759^2 .

It is a super-2 number, since 2×2221021101011222 (a number of 29 digits) contains 22 as substring.

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: 12339006116729 = 222102110101122 / (2 + 2 + 2 + 1 + 0 + 2 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 222102110101095 and 222102110101104.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6169503058347 + ... + 6169503058382.

Almost surely, 2222102110101122 is an apocalyptic number.

222102110101122 is an abundant number, since it is smaller than the sum of its proper divisors (259119128451348).

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

222102110101122 is a wasteful number, since it uses less digits than its factorization.

222102110101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339006116737 (or 12339006116734 counting only the distinct ones).

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

Adding to 222102110101122 its reverse (221101011201222), we get a palindrome (443203121302344).

The spelling of 222102110101122 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred ten million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12339006116729 24678012233458 37017018350187 74034036700374 111051055050561 222102110101122