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113131322144 = 255366704789
BaseRepresentation
bin110100101011100100…
…1101111101100100000
3101211000022112121211022
41221113021233230200
53323143104302034
6123545524505012
711113333241351
oct1512711575440
9354008477738
10113131322144
1143a84755855
1219b1354b168
13a88c170949
145693011d28
152e21e7bb2e
hex1a5726fb20

113131322144 has 24 divisors (see below), whose sum is σ = 226929695580. Its totient is φ = 55498383616.

The previous prime is 113131322141. The next prime is 113131322167. The reversal of 113131322144 is 441223131311.

It can be written as a sum of positive squares in 2 ways, for example, as 87268249744 + 25863072400 = 295412^2 + 160820^2 .

It is not an unprimeable number, because it can be changed into a prime (113131322141) 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 3 ways as a sum of consecutive naturals, for example, 33350699 + ... + 33354090.

Almost surely, 2113131322144 is an apocalyptic number.

It is an amenable number.

113131322144 is an abundant number, since it is smaller than the sum of its proper divisors (113798373436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113131322144 is an equidigital number, since it uses as much as digits as its factorization.

113131322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66704852 (or 66704844 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 113131322144 its reverse (441223131311), we get a palindrome (554354453455).

The spelling of 113131322144 in words is "one hundred thirteen billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 66704789 133409578 266819156 533638312 1067276624 2134553248 3535353817 7070707634 14141415268 28282830536 56565661072 113131322144