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110110000111 = 4314711740787
BaseRepresentation
bin110011010001100010…
…0010100001111101111
3101112012202101120011021
41212203010110033233
53301001130000421
6122330035235011
710645425362326
oct1464304241757
9345182346137
10110110000111
11427742518a1
121940b748a67
13a4ca232327
145487a590bd
152ce6ac5341
hex19a31143ef

110110000111 has 8 divisors (see below), whose sum is σ = 112747357184. Its totient is φ = 107476127640.

The previous prime is 110110000067. The next prime is 110110000123. The reversal of 110110000111 is 111000011011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110110000111 - 217 = 110109869039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110110000094 and 110110000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110600111) 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 7 ways as a sum of consecutive naturals, for example, 807141 + ... + 933646.

It is an arithmetic number, because the mean of its divisors is an integer number (14093419648).

Almost surely, 2110110000111 is an apocalyptic number.

110110000111 is a deficient number, since it is larger than the sum of its proper divisors (2637357073).

110110000111 is a wasteful number, since it uses less digits than its factorization.

110110000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742301.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110110000111 its reverse (111000011011), we get a palindrome (221110011122).

The spelling of 110110000111 in words is "one hundred ten billion, one hundred ten million, one hundred eleven", and thus it is an aban number.

Divisors: 1 43 1471 63253 1740787 74853841 2560697677 110110000111