Base | Representation |
---|---|
bin | 111101001010000000… |
… | …0101011100000001000 |
3 | 110112222202202021210200 |
4 | 1322110000223200020 |
5 | 4122432022200112 |
6 | 140155545212200 |
7 | 12326351331231 |
oct | 1722400534010 |
9 | 415882667720 |
10 | 131332225032 |
11 | 50774687558 |
12 | 21552a91060 |
13 | c4ccbb3478 |
14 | 64dc3b8088 |
15 | 3639cbbcdc |
hex | 1e9402b808 |
131332225032 has 36 divisors (see below), whose sum is σ = 355699771245. Its totient is φ = 43776383328.
The previous prime is 131332225027. The next prime is 131332225061. The reversal of 131332225032 is 230522233131.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
131332225032 is a `hidden beast` number, since 1 + 3 + 133 + 2 + 22 + 503 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 121266918756 + 10065306276 = 348234^2 + 100326^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=256254.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 131332224987 and 131332225005.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3053694 + ... + 3096402.
Almost surely, 2131332225032 is an apocalyptic number.
131332225032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
131332225032 is an abundant number, since it is smaller than the sum of its proper divisors (224367546213).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131332225032 is an frugal number, since it uses more digits than its factorization.
131332225032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85430 (or 42714 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
Adding to 131332225032 its reverse (230522233131), we get a palindrome (361854458163).
The spelling of 131332225032 in words is "one hundred thirty-one billion, three hundred thirty-two million, two hundred twenty-five thousand, thirty-two".
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