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110112222112 = 25172513112593
BaseRepresentation
bin110011010001100110…
…0110010101110100000
3101112012220120110011121
41212203030302232200
53301002212101422
6122330155022024
710645453305424
oct1464314625640
9345186513147
10110112222112
114277552a262
121941043a914
13a4ca82c819
145488076b84
152ce6db38c7
hex19a3332ba0

110112222112 has 96 divisors (see below), whose sum is σ = 231280043904. Its totient is φ = 51425280000.

The previous prime is 110112222097. The next prime is 110112222113. The reversal of 110112222112 is 211222211011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (110112222113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42463888 + ... + 42466480.

It is an arithmetic number, because the mean of its divisors is an integer number (2409167124).

Almost surely, 2110112222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115640021952).

110112222112 is an abundant number, since it is smaller than the sum of its proper divisors (121167821792).

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

110112222112 is a wasteful number, since it uses less digits than its factorization.

110112222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110112222112 its reverse (211222211011), we get a palindrome (321334433123).

The spelling of 110112222112 in words is "one hundred ten billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 251 272 311 502 544 622 1004 1244 2008 2488 2593 4016 4267 4976 5186 5287 8032 8534 9952 10372 10574 17068 20744 21148 34136 41488 42296 44081 68272 78061 82976 84592 88162 136544 156122 169184 176324 312244 352648 624488 650843 705296 806423 1248976 1301686 1327037 1410592 1612846 2497952 2603372 2654074 3225692 5206744 5308148 6451384 10413488 10616296 11064331 12902768 13709191 20826976 21232592 22128662 25805536 27418382 42465184 44257324 54836764 88514648 109673528 177029296 202412173 219347056 354058592 404824346 438694112 809648692 1619297384 3238594768 3441006941 6477189536 6882013882 13764027764 27528055528 55056111056 110112222112