Base | Representation |
---|---|
bin | 11000011101011101… |
… | …01010000111001001 |
3 | 1020220012012102122211 |
4 | 30032232222013021 |
5 | 203343243422100 |
6 | 10011024345121 |
7 | 643265164114 |
oct | 141656520711 |
9 | 36805172584 |
10 | 13132014025 |
11 | 5629752559 |
12 | 2665a751a1 |
13 | 1313844100 |
14 | 8c80d157b |
15 | 51cd2c1ba |
hex | 30ebaa1c9 |
13132014025 has 81 divisors (see below), whose sum is σ = 18503278047. Its totient is φ = 9240940800.
The previous prime is 13132014023. The next prime is 13132014043. The reversal of 13132014025 is 52041023131.
It is a happy number.
The square root of 13132014025 is 114595.
It is a perfect power (a square), and thus also a powerful number.
13132014025 is digitally balanced in base 2, 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 13 ways, for example, as 11900846281 + 1231167744 = 109091^2 + 35088^2 .
It is not a de Polignac number, because 13132014025 - 21 = 13132014023 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 13132013987 and 13132014005.
It is not an unprimeable number, because it can be changed into a prime (13132014023) 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 80 ways as a sum of consecutive naturals, for example, 305395654 + ... + 305395696.
Almost surely, 213132014025 is an apocalyptic number.
13132014025 is the 114595-th square number.
13132014025 is the 57298-th centered octagonal number.
It is an amenable number.
13132014025 is a deficient number, since it is larger than the sum of its proper divisors (5371264022).
13132014025 is an equidigital number, since it uses as much as digits as its factorization.
13132014025 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 204 (or 102 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 22.
Adding to 13132014025 its reverse (52041023131), we get a palindrome (65173037156).
The spelling of 13132014025 in words is "thirteen billion, one hundred thirty-two million, fourteen thousand, twenty-five".
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