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113131324005 = 3571763378893
BaseRepresentation
bin110100101011100100…
…1110000001001100101
3101211000022112201101020
41221113021300021211
53323143104332010
6123545524521353
711113333246650
oct1512711601145
9354008481336
10113131324005
1143a84757197
1219b13550259
13a88c17174b
145693012897
152e21e7c470
hex1a57270265

113131324005 has 32 divisors (see below), whose sum is σ = 219037457664. Its totient is φ = 48674989056.

The previous prime is 113131324003. The next prime is 113131324013. The reversal of 113131324005 is 500423131311.

It is not a de Polignac number, because 113131324005 - 21 = 113131324003 is a prime.

It is a super-2 number, since 2×1131313240052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131324003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31687662 + ... + 31691231.

It is an arithmetic number, because the mean of its divisors is an integer number (6844920552).

Almost surely, 2113131324005 is an apocalyptic number.

113131324005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113131324005 is a deficient number, since it is larger than the sum of its proper divisors (105906133659).

113131324005 is a wasteful number, since it uses less digits than its factorization.

113131324005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63378925.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 113131324005 its reverse (500423131311), we get a palindrome (613554455316).

The spelling of 113131324005 in words is "one hundred thirteen billion, one hundred thirty-one million, three hundred twenty-four thousand, five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 63378893 190136679 316894465 443652251 950683395 1077441181 1330956753 2218261255 3232323543 5387205905 6654783765 7542088267 16161617715 22626264801 37710441335 113131324005