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221110120101112 = 2311210112311837189
BaseRepresentation
bin110010010001100100110110…
…001010100011010011111000
31001222212220212102220201211121
4302101210312022203103320
5212440132011221213422
62102132330434035024
764400451620451064
oct6221446612432370
91058786772821747
10221110120101112
11644a8303517100
1220970757a18a74
13964b796b99298
143c85b03412aa4
151a868ad0a98c7
hexc919362a34f8

221110120101112 has 96 divisors (see below), whose sum is σ = 460582945099200. Its totient is φ = 99428614560000.

The previous prime is 221110120101109. The next prime is 221110120101113. The reversal of 221110120101112 is 211101021011122.

It is a super-2 number, since 2×2211101201011122 (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 (221110120101113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119433814 + ... + 121271002.

It is an arithmetic number, because the mean of its divisors is an integer number (4797739011450).

Almost surely, 2221110120101112 is an apocalyptic number.

221110120101112 is a gapful number since it is divisible by the number (22) 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 221110120101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230291472549600).

221110120101112 is an abundant number, since it is smaller than the sum of its proper divisors (239472824998088).

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

221110120101112 is a wasteful number, since it uses less digits than its factorization.

221110120101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838549 (or 1838534 counting only the distinct ones).

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

Adding to 221110120101112 its reverse (211101021011122), we get a palindrome (432211141112234).

The spelling of 221110120101112 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 1231 2222 2462 4444 4924 8888 9848 12221 13541 24442 27082 48884 54164 97768 108328 124331 148951 248662 297902 497324 595804 994648 1191608 1367641 1837189 2735282 3674378 5470564 7348756 10941128 14697512 15044051 20209079 30088102 40418158 60176204 80836316 120352408 161672632 185556089 222299869 371112178 444599738 742224356 889199476 1484448712 1778398952 2041116979 2261579659 4082233958 4523159318 8164467916 9046318636 16328935832 18092637272 22452286769 24877376249 44904573538 49754752498 89809147076 99509504996 179618294152 199019009992 228419545559 273651138739 456839091118 547302277478 913678182236 1094604554956 1827356364472 2189209109912 2512615001149 5025230002298 10050460004596 20100920009192 27638765012639 55277530025278 110555060050556 221110120101112