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221112222211020 = 2235723673167107873
BaseRepresentation
bin110010010001100110110011…
…011101011101101111001100
31001222220010021221101222112010
4302101212303131131233030
5212440200312341223040
62102133315205341220
764400554664213310
oct6221466335355714
91058803257358463
10221112222211020
11644a9192066418
1220971043a07810
13964ba405455ba
143c85c6268bb40
151a869828dbe80
hexc919b375dbcc

221112222211020 has 384 divisors, whose sum is σ = 749585848467456. Its totient is φ = 47605539446784.

The previous prime is 221112222211019. The next prime is 221112222211031. The reversal of 221112222211020 is 20112222211122.

It is a super-2 number, since 2×2211122222110202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2049691804 + ... + 2049799676.

It is an arithmetic number, because the mean of its divisors is an integer number (1952046480384).

Almost surely, 2221112222211020 is an apocalyptic number.

221112222211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221112222211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374792924233728).

221112222211020 is an abundant number, since it is smaller than the sum of its proper divisors (528473626256436).

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

221112222211020 is a wasteful number, since it uses less digits than its factorization.

221112222211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111149 (or 111147 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221112222211020 its reverse (20112222211122), we get a palindrome (241224444422142).

The spelling of 221112222211020 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, twenty".