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221110120101120 = 2835433338939239
BaseRepresentation
bin110010010001100100110110…
…001010100011010100000000
31001222212220212102220201211220
4302101210312022203110000
5212440132011221213440
62102132330434035040
764400451620451105
oct6221446612432400
91058786772821756
10221110120101120
11644a8303517108
1220970757a18a80
13964b796b992a3
143c85b03412aac
151a868ad0a98d0
hexc919362a3500

221110120101120 has 288 divisors, whose sum is σ = 708028220793600. Its totient is φ = 58807669358592.

The previous prime is 221110120101113. The next prime is 221110120101179. The reversal of 221110120101120 is 21101021011122.

It is a happy number.

It is a super-2 number, since 2×2211101201011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221110120101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5634938461 + ... + 5634977699.

It is an arithmetic number, because the mean of its divisors is an integer number (2458431322200).

Almost surely, 2221110120101120 is an apocalyptic number.

221110120101120 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 221110120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354014110396800).

221110120101120 is an abundant number, since it is smaller than the sum of its proper divisors (486918100692480).

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

221110120101120 is a wasteful number, since it uses less digits than its factorization.

221110120101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43085 (or 43071 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221110120101120 its reverse (21101021011122), we get a palindrome (242211141112242).

The spelling of 221110120101120 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred twenty million, one hundred one thousand, one hundred twenty".