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113422224311 = 11231850324229
BaseRepresentation
bin110100110100001111…
…1011100101110110111
3101211202120220222120122
41221220133130232313
53324242042134221
6124034435522155
711123464666544
oct1515037345667
9354676828518
10113422224311
1144113985970
1219b94a5935b
13a9075046c6
1456bd8d7bcb
152e3c78eeab
hex1a687dcbb7

113422224311 has 16 divisors (see below), whose sum is σ = 129125352960. Its totient is φ = 98618620320.

The previous prime is 113422224283. The next prime is 113422224317.

It is a happy number.

113422224311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113422224311 - 26 = 113422224247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113422224317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4669145 + ... + 4693373.

It is an arithmetic number, because the mean of its divisors is an integer number (8070334560).

Almost surely, 2113422224311 is an apocalyptic number.

113422224311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113422224311 is a deficient number, since it is larger than the sum of its proper divisors (15703128649).

113422224311 is a wasteful number, since it uses less digits than its factorization.

113422224311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42766.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 113422 and 224311, that added together give a palindrome (337733).

The spelling of 113422224311 in words is "one hundred thirteen billion, four hundred twenty-two million, two hundred twenty-four thousand, three hundred eleven".

Divisors: 1 11 23 253 18503 24229 203533 266519 425569 557267 4681259 6129937 448309187 4931401057 10311111301 113422224311