Base | Representation |
---|---|
bin | 1111101001001… |
… | …00101010000000 |
3 | 100010220202221102 |
4 | 13310210222000 |
5 | 232043102034 |
6 | 21004313532 |
7 | 3152240564 |
oct | 764445200 |
9 | 303822842 |
10 | 131222144 |
11 | 68087159 |
12 | 37b428a8 |
13 | 21255b51 |
14 | 135db6a4 |
15 | b7c097e |
hex | 7d24a80 |
131222144 has 32 divisors (see below), whose sum is σ = 262502100. Its totient is φ = 65339392.
The previous prime is 131222141. The next prime is 131222159. The reversal of 131222144 is 441222131.
It can be written as a sum of positive squares in 2 ways, for example, as 118548544 + 12673600 = 10888^2 + 3560^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is not an unprimeable number, because it can be changed into a prime (131222141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30902 + ... + 34890.
Almost surely, 2131222144 is an apocalyptic number.
It is an amenable number.
131222144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
131222144 is an equidigital number, since it uses as much as digits as its factorization.
131222144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4260 (or 4248 counting only the distinct ones).
The product of its digits is 384, while the sum is 20.
The square root of 131222144 is about 11455.2234373669. The cubic root of 131222144 is about 508.1622231818.
Adding to 131222144 its reverse (441222131), we get a palindrome (572444275).
The spelling of 131222144 in words is "one hundred thirty-one million, two hundred twenty-two thousand, one hundred forty-four".
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