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220221101201112 = 2332112711026040391
BaseRepresentation
bin110010000100101000111000…
…100000100101011011011000
31001212201221011012000022220200
4302010220320200211123120
5212331100303401413422
62100212102141422200
764246310116465254
oct6204507040453330
91055657135008820
10220221101201112
1164195276526270
12208483a926a960
1395b59b744acab
143c54a885bb264
151a6d6c9b372ac
hexc84a388256d8

220221101201112 has 96 divisors (see below), whose sum is σ = 653054188700160. Its totient is φ = 66487417272000.

The previous prime is 220221101201039. The next prime is 220221101201141. The reversal of 220221101201112 is 211102101122022.

220221101201112 is a `hidden beast` number, since 220 + 2 + 211 + 0 + 120 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512805564 + ... + 513234827.

It is an arithmetic number, because the mean of its divisors is an integer number (6802647798960).

Almost surely, 2220221101201112 is an apocalyptic number.

220221101201112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220221101201112 is an abundant number, since it is smaller than the sum of its proper divisors (432833087499048).

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

220221101201112 is a wasteful number, since it uses less digits than its factorization.

220221101201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026040685 (or 1026040678 counting only the distinct ones).

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

Adding to 220221101201112 its reverse (211102101122022), we get a palindrome (431323202323134).

The spelling of 220221101201112 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 271 396 542 792 813 1084 1626 2168 2439 2981 3252 4878 5962 6504 8943 9756 11924 17886 19512 23848 26829 35772 53658 71544 107316 214632 1026040391 2052080782 3078121173 4104161564 6156242346 8208323128 9234363519 11286444301 12312484692 18468727038 22572888602 24624969384 33859332903 36937454076 45145777204 67718665806 73874908152 90291554408 101577998709 135437331612 203155997418 270874663224 278056945961 406311994836 556113891922 812623989672 834170837883 1112227783844 1668341675766 2224455567688 2502512513649 3058626405571 3336683351532 5005025027298 6117252811142 6673366703064 9175879216713 10010050054596 12234505622284 18351758433426 20020100109192 24469011244568 27527637650139 36703516866852 55055275300278 73407033733704 110110550600556 220221101201112