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113311113311 = 11101990110301
BaseRepresentation
bin110100110000111011…
…1100110000001011111
3101211110211211221221102
41221201313212001133
53324030121111221
6124015430223315
711120645400014
oct1514167460137
9354424757842
10113311113311
11440671955a0
1219b637b4b3b
13a8ba4a0756
1456acc5370b
152e32b4330b
hex1a61de605f

113311113311 has 16 divisors (see below), whose sum is σ = 124860734496. Its totient is φ = 101970000000.

The previous prime is 113311113281. The next prime is 113311113313.

It is a happy number.

113311113311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113311113311 - 26 = 113311113247 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311113313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10994861 + ... + 11005161.

It is an arithmetic number, because the mean of its divisors is an integer number (7803795906).

Almost surely, 2113311113311 is an apocalyptic number.

113311113311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113311113311 is a deficient number, since it is larger than the sum of its proper divisors (11549621185).

113311113311 is a wasteful number, since it uses less digits than its factorization.

113311113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20314.

The product of its digits is 81, while the sum is 20.

It can be divided in two parts, 113311 and 113311, that added together give a palindrome (226622).

The spelling of 113311113311 in words is "one hundred thirteen billion, three hundred eleven million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 11 101 1111 9901 10301 108911 113311 1000001 1040401 11000011 11444411 101990201 1121892211 10301010301 113311113311