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113324273361 = 32135394119421
BaseRepresentation
bin110100110001010100…
…1110010111011010001
3101211111202121120010200
41221202221302323101
53324042003221421
6124021020245413
711121165300345
oct1514251627321
9354452546120
10113324273361
1144073663972
1219b680a0869
13a8c012a770
1456b08bb625
152e33d92726
hex1a62a72ed1

113324273361 has 48 divisors (see below), whose sum is σ = 179808409872. Its totient is φ = 68345971200.

The previous prime is 113324273317. The next prime is 113324273371. The reversal of 113324273361 is 163372423311.

113324273361 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 24 + 273 + 361 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9936301761 + 103387971600 = 99681^2 + 321540^2 .

It is not a de Polignac number, because 113324273361 - 210 = 113324272337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113324273371) 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 47 ways as a sum of consecutive naturals, for example, 5825431 + ... + 5844851.

It is an arithmetic number, because the mean of its divisors is an integer number (3746008539).

Almost surely, 2113324273361 is an apocalyptic number.

It is an amenable number.

113324273361 is a deficient number, since it is larger than the sum of its proper divisors (66484136511).

113324273361 is a wasteful number, since it uses less digits than its factorization.

113324273361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20434 (or 20431 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

Adding to 113324273361 its reverse (163372423311), we get a palindrome (276696696672).

The spelling of 113324273361 in words is "one hundred thirteen billion, three hundred twenty-four million, two hundred seventy-three thousand, three hundred sixty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 941 2067 2823 6201 8469 12233 19421 36699 49873 58263 110097 149619 174789 252473 448857 648349 757419 1029313 1945047 2272257 3087939 5835141 9263817 13381069 18275161 40143207 54825483 120429621 164476449 237577093 712731279 968583533 2138193837 2905750599 8717251797 12591585929 37774757787 113324273361