Base | Representation |
---|---|
bin | 1111101000011… |
… | …10001010010001 |
3 | 100010202002112201 |
4 | 13310032022101 |
5 | 232032130001 |
6 | 21002323201 |
7 | 3151405132 |
oct | 764161221 |
9 | 303662481 |
10 | 131130001 |
11 | 68023a02 |
12 | 37ab9501 |
13 | 21222c22 |
14 | 135b5c89 |
15 | b7a3501 |
hex | 7d0e291 |
131130001 has 12 divisors (see below), whose sum is σ = 138874500. Its totient is φ = 123798528.
The previous prime is 131129989. The next prime is 131130007. The reversal of 131130001 is 100031131.
It can be written as a sum of positive squares in 2 ways, for example, as 99500625 + 31629376 = 9975^2 + 5624^2 .
It is a de Polignac number, because none of the positive numbers 2k-131130001 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 131130001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131130007) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 161685 + ... + 162493.
It is an arithmetic number, because the mean of its divisors is an integer number (11572875).
Almost surely, 2131130001 is an apocalyptic number.
It is an amenable number.
131130001 is a deficient number, since it is larger than the sum of its proper divisors (7744499).
131130001 is an equidigital number, since it uses as much as digits as its factorization.
131130001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1296 (or 1277 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 10.
The square root of 131130001 is about 11451.2008540589. The cubic root of 131130001 is about 508.0432530287.
Adding to 131130001 its reverse (100031131), we get a palindrome (231161132).
The spelling of 131130001 in words is "one hundred thirty-one million, one hundred thirty thousand, one".
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