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110110111092 = 223226911370313
BaseRepresentation
bin110011010001100010…
…0101111010101110100
3101112012202121012101200
41212203010233111310
53301001142023332
6122330041452500
710645426334022
oct1464304572564
9345182535350
10110110111092
1142774318213
121940b7a1130
13a4ca2709b7
145487a87712
152ce6ae817c
hex19a312f574

110110111092 has 36 divisors (see below), whose sum is σ = 279368614980. Its totient is φ = 36566923392.

The previous prime is 110110111081. The next prime is 110110111093. The reversal of 110110111092 is 290111011011.

It can be written as a sum of positive squares in 2 ways, for example, as 15476355216 + 94633755876 = 124404^2 + 307626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110111093) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5675473 + ... + 5694840.

It is an arithmetic number, because the mean of its divisors is an integer number (7760239305).

Almost surely, 2110110111092 is an apocalyptic number.

110110111092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110110111092 is an abundant number, since it is smaller than the sum of its proper divisors (169258503888).

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

110110111092 is a wasteful number, since it uses less digits than its factorization.

110110111092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11370592 (or 11370587 counting only the distinct ones).

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

The spelling of 110110111092 in words is "one hundred ten billion, one hundred ten million, one hundred eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 11370313 22740626 34110939 45481252 68221878 102332817 136443756 204665634 409331268 3058614197 6117228394 9175842591 12234456788 18351685182 27527527773 36703370364 55055055546 110110111092