Search a number
-
+
113443344311 = 11292411475609
BaseRepresentation
bin110100110100111000…
…0000000111110110111
3101211211001122222202212
41221221300000332313
53324312444004221
6124040512324035
711124142342103
oct1515160007667
9354731588685
10113443344311
11441248a0710
1219b9bb4361b
13a90b9ba84b
1456c2634903
152e3e562b5b
hex1a69c00fb7

113443344311 has 16 divisors (see below), whose sum is σ = 128555143200. Its totient is φ = 99160857600.

The previous prime is 113443344299. The next prime is 113443344331.

113443344311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 113443344311 - 214 = 113443327927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113443344331) 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 15 ways as a sum of consecutive naturals, for example, 660926 + ... + 814683.

It is an arithmetic number, because the mean of its divisors is an integer number (8034696450).

Almost surely, 2113443344311 is an apocalyptic number.

113443344311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113443344311 is a deficient number, since it is larger than the sum of its proper divisors (15111798889).

113443344311 is a wasteful number, since it uses less digits than its factorization.

113443344311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475890.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 113443 and 344311, that added together give a palindrome (457754).

The spelling of 113443344311 in words is "one hundred thirteen billion, four hundred forty-three million, three hundred forty-four thousand, three hundred eleven".

Divisors: 1 11 29 241 319 2651 6989 76879 1475609 16231699 42792661 355621769 470719271 3911839459 10313031301 113443344311