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110111111112 = 23337154980051
BaseRepresentation
bin110011010001100100…
…0100011011111001000
3101112012211111000011110
41212203020203133020
53301001421023422
6122330115130320
710645441000362
oct1464310433710
9345184430143
10110111111112
1142774940582
121940bba39a0
13a4ca530c22
145487c67d32
152ce6c4460c
hex19a32237c8

110111111112 has 64 divisors (see below), whose sum is σ = 282903768000. Its totient is φ = 35688211200.

The previous prime is 110111111101. The next prime is 110111111147. The reversal of 110111111112 is 211111111011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 1335487 + ... + 1415537.

It is an arithmetic number, because the mean of its divisors is an integer number (4420371375).

Almost surely, 2110111111112 is an apocalyptic number.

110111111112 is a gapful number since it is divisible by the number (12) 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 110111111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141451884000).

110111111112 is an abundant number, since it is smaller than the sum of its proper divisors (172792656888).

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

110111111112 is a wasteful number, since it uses less digits than its factorization.

110111111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81646 (or 81642 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110111111112 its reverse (211111111011), we get a palindrome (321222222123).

The spelling of 110111111112 in words is "one hundred ten billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1549 3098 4647 6196 9294 12392 18588 37176 57313 80051 114626 160102 171939 229252 240153 320204 343878 458504 480306 640408 687756 960612 1375512 1921224 2961887 5923774 8885661 11847548 17771322 23695096 35542644 71085288 123998999 247997998 371996997 495995996 743993994 991991992 1487987988 2975975976 4587962963 9175925926 13763888889 18351851852 27527777778 36703703704 55055555556 110111111112