Search a number
-
+
110111102112 = 25311743140339
BaseRepresentation
bin110011010001100100…
…0100001010010100000
3101112012211110112211010
41212203020201102200
53301001420231422
6122330115020520
710645440632214
oct1464310412240
9345184415733
10110111102112
1142774934840
121940bb9a740
13a4ca529abb
145487c64944
152ce6c41b0c
hex19a32214a0

110111102112 has 96 divisors (see below), whose sum is σ = 315744791040. Its totient is φ = 33321854720.

The previous prime is 110111102111. The next prime is 110111102113. The reversal of 110111102112 is 211201111011.

It is an interprime number because it is at equal distance from previous prime (110111102111) and next prime (110111102113).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (110111102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714439 + ... + 854777.

It is an arithmetic number, because the mean of its divisors is an integer number (3289008240).

Almost surely, 2110111102112 is an apocalyptic number.

110111102112 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 110111102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157872395520).

110111102112 is an abundant number, since it is smaller than the sum of its proper divisors (205633688928).

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

110111102112 is a wasteful number, since it uses less digits than its factorization.

110111102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141106 (or 141098 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110111102112 its reverse (211201111011), we get a palindrome (321312213123).

The spelling of 110111102112 in words is "one hundred ten billion, one hundred eleven million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 743 1056 1486 2229 2972 4458 5944 8173 8916 11888 16346 17832 23776 24519 32692 35664 49038 65384 71328 98076 130768 140339 196152 261536 280678 392304 421017 561356 784608 842034 1122712 1543729 1684068 2245424 3087458 3368136 4490848 4631187 6174916 6736272 9262374 12349832 13472544 18524748 24699664 37049496 49399328 74098992 104271877 148197984 208543754 312815631 417087508 625631262 834175016 1146990647 1251262524 1668350032 2293981294 2502525048 3336700064 3440971941 4587962588 5005050096 6881943882 9175925176 10010100192 13763887764 18351850352 27527775528 36703700704 55055551056 110111102112