Base | Representation |
---|---|
bin | 111101001010000100… |
… | …1000110000111110100 |
3 | 110112222220220101010100 |
4 | 1322110021012013310 |
5 | 4122433103244340 |
6 | 140200104354100 |
7 | 12326406150246 |
oct | 1722411060764 |
9 | 415886811110 |
10 | 131334431220 |
11 | 50775954053 |
12 | 21553775930 |
13 | c5004a66c5 |
14 | 64dc7d0096 |
15 | 363a0a5830 |
hex | 1e942461f4 |
131334431220 has 36 divisors (see below), whose sum is σ = 398381108580. Its totient is φ = 35022514944.
The previous prime is 131334431219. The next prime is 131334431227. The reversal of 131334431220 is 22134433131.
It is a happy number.
131334431220 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 4 + 431 + 220 = 666.
131334431220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 97497564516 + 33836866704 = 312246^2 + 183948^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131334431227) 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 11 ways as a sum of consecutive naturals, for example, 364817685 + ... + 364818044.
It is an arithmetic number, because the mean of its divisors is an integer number (11066141905).
Almost surely, 2131334431220 is an apocalyptic number.
131334431220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131334431220 is an abundant number, since it is smaller than the sum of its proper divisors (267046677360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131334431220 is a wasteful number, since it uses less digits than its factorization.
131334431220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 729635744 (or 729635739 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 131334431220 its reverse (22134433131), we get a palindrome (153468864351).
The spelling of 131334431220 in words is "one hundred thirty-one billion, three hundred thirty-four million, four hundred thirty-one thousand, two hundred twenty".
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