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110044440011 = 11971017731321
BaseRepresentation
bin110011001111100101…
…0001110010111001011
3101112001012000202121102
41212133022032113023
53300332334040021
6122315334132015
710644001210112
oct1463712162713
9345035022542
10110044440011
11427402435a0
12193b17b100b
13a4b978967c
14547d070c79
152ce0e7500b
hex199f28e5cb

110044440011 has 32 divisors (see below), whose sum is σ = 122738245056. Its totient is φ = 97827840000.

The previous prime is 110044440007. The next prime is 110044440031.

It is a happy number.

110044440011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110044440011 - 22 = 110044440007 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110044440031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83303231 + ... + 83304551.

It is an arithmetic number, because the mean of its divisors is an integer number (3835570158).

Almost surely, 2110044440011 is an apocalyptic number.

110044440011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110044440011 is a deficient number, since it is larger than the sum of its proper divisors (12693805045).

110044440011 is a wasteful number, since it uses less digits than its factorization.

110044440011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 110044 and 440011, that added together give a palindrome (550055).

The spelling of 110044440011 in words is "one hundred ten billion, forty-four million, four hundred forty thousand, eleven".

Divisors: 1 11 97 101 773 1067 1111 1321 8503 9797 14531 74981 78073 107767 128137 133421 824791 858803 1021133 1409507 1467631 7573081 11232463 12941837 83303891 99049901 103134433 142360207 1089548911 1134478763 10004040001 110044440011