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221112101000022 = 23137430589624709
BaseRepresentation
bin110010010001100110101100…
…001111000101001101010110
31001222220002222111022211021220
4302101212230033011031112
5212440200040324000042
62102133255155351210
764400551663016421
oct6221465417051526
91058802874284256
10221112101000022
11644a912a6a7841
122097100b2b2506
13964ba213b640b
143c85c505389b8
151a86976e478ec
hexc919ac3c5356

221112101000022 has 32 divisors (see below), whose sum is σ = 445453863458400. Its totient is φ = 73165760978688.

The previous prime is 221112100999991. The next prime is 221112101000027. The reversal of 221112101000022 is 220000101211122.

It is a super-2 number, since 2×2211121010000222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221112100999965 and 221112101000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112101000027) 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 15 ways as a sum of consecutive naturals, for example, 353631804 + ... + 354256512.

It is an arithmetic number, because the mean of its divisors is an integer number (13920433233075).

Almost surely, 2221112101000022 is an apocalyptic number.

221112101000022 is an abundant number, since it is smaller than the sum of its proper divisors (224341762458378).

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

221112101000022 is a wasteful number, since it uses less digits than its factorization.

221112101000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055440.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221112101000022 its reverse (220000101211122), we get a palindrome (441112202211144).

The spelling of 221112101000022 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 137 274 411 822 430589 624709 861178 1249418 1291767 1874127 2583534 3748254 58990693 85585133 117981386 171170266 176972079 256755399 353944158 513510798 268992823601 537985647202 806978470803 1613956941606 36852016833337 73704033666674 110556050500011 221112101000022