Base | Representation |
---|---|
bin | 110010000101… |
… | …111000111100 |
3 | 220201010210100 |
4 | 302011320330 |
5 | 11330200244 |
6 | 1145241100 |
7 | 216420513 |
oct | 62057074 |
9 | 26633710 |
10 | 13131324 |
11 | 7459838 |
12 | 4493190 |
13 | 2949c1b |
14 | 1a5b67a |
15 | 1245b69 |
hex | c85e3c |
13131324 has 18 divisors (see below), whose sum is σ = 33193160. Its totient is φ = 4377096.
The previous prime is 13131319. The next prime is 13131329. The reversal of 13131324 is 42313131.
13131324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13131319) and next prime (13131329).
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 13131297 and 13131306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13131329) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182344 + ... + 182415.
Almost surely, 213131324 is an apocalyptic number.
It is an amenable number.
13131324 is an abundant number, since it is smaller than the sum of its proper divisors (20061836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13131324 is a wasteful number, since it uses less digits than its factorization.
13131324 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 364769 (or 364764 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 13131324 is about 3623.7168763578. The cubic root of 13131324 is about 235.9225782619.
Adding to 13131324 its reverse (42313131), we get a palindrome (55444455).
The spelling of 13131324 in words is "thirteen million, one hundred thirty-one thousand, three hundred twenty-four".
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