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110110211013 = 31137394322871
BaseRepresentation
bin110011010001100010…
…1000111101111000101
3101112012202210021110110
41212203011013233011
53301001203223023
6122330043543233
710645430231235
oct1464305075705
9345182707413
10110110211013
11427743862a0
121940b82ab19
13a4ca2a731a
145487ab1cc5
152ce6b17a93
hex19a3147bc5

110110211013 has 32 divisors (see below), whose sum is σ = 164537874432. Its totient is φ = 64910548800.

The previous prime is 110110210993. The next prime is 110110211039. The reversal of 110110211013 is 310112011011.

It is not a de Polignac number, because 110110211013 - 29 = 110110210501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110110211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110211093) 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 31 ways as a sum of consecutive naturals, for example, 4802968 + ... + 4825838.

It is an arithmetic number, because the mean of its divisors is an integer number (5141808576).

Almost surely, 2110110211013 is an apocalyptic number.

It is an amenable number.

110110211013 is a deficient number, since it is larger than the sum of its proper divisors (54427663419).

110110211013 is a wasteful number, since it uses less digits than its factorization.

110110211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26865.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 110110211013 its reverse (310112011011), we get a palindrome (420222222024).

It can be divided in two parts, 110110 and 211013, that added together give a palindrome (321123).

The spelling of 110110211013 in words is "one hundred ten billion, one hundred ten million, two hundred eleven thousand, thirteen".

Divisors: 1 3 11 33 37 111 407 1221 3943 11829 22871 43373 68613 130119 145891 251581 437673 754743 846227 1604801 2538681 4814403 9308497 27925491 90180353 270541059 991983883 2975951649 3336673061 10010019183 36703403671 110110211013