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113205444213 = 33110932533433
BaseRepresentation
bin110100101101110010…
…0011111111001110101
3101211012111000102012010
41221123210133321311
53323321043203323
6124001133314433
711115223253601
oct1513344377165
9354174012163
10113205444213
1144012581864
1219b34335a19
13a8a1623764
14569cbc8501
152e2871dc93
hex1a5b91fe75

113205444213 has 32 divisors (see below), whose sum is σ = 157333242880. Its totient is φ = 72322398720.

The previous prime is 113205444193. The next prime is 113205444239. The reversal of 113205444213 is 312444502311.

It is not a de Polignac number, because 113205444213 - 217 = 113205313141 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 (113205444713) 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 31 ways as a sum of consecutive naturals, for example, 32973945 + ... + 32977377.

It is an arithmetic number, because the mean of its divisors is an integer number (4916663840).

Almost surely, 2113205444213 is an apocalyptic number.

It is an amenable number.

113205444213 is a deficient number, since it is larger than the sum of its proper divisors (44127798667).

113205444213 is a wasteful number, since it uses less digits than its factorization.

113205444213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 113205444213 its reverse (312444502311), we get a palindrome (425649946524).

The spelling of 113205444213 in words is "one hundred thirteen billion, two hundred five million, four hundred forty-four thousand, two hundred thirteen".

Divisors: 1 3 31 93 109 327 3253 3379 3433 9759 10137 10299 100843 106423 302529 319269 354577 374197 1063731 1122591 10991887 11167549 11600107 32975661 33502647 34800321 346194019 1038582057 1217262841 3651788523 37735148071 113205444213