Base | Representation |
---|---|
bin | 110010000101… |
… | …111000110010 |
3 | 220201010202222 |
4 | 302011320302 |
5 | 11330200224 |
6 | 1145241042 |
7 | 216420500 |
oct | 62057062 |
9 | 26633688 |
10 | 13131314 |
11 | 7459829 |
12 | 4493182 |
13 | 2949c11 |
14 | 1a5b670 |
15 | 1245b5e |
hex | c85e32 |
13131314 has 12 divisors (see below), whose sum is σ = 22912974. Its totient is φ = 5627664.
The previous prime is 13131281. The next prime is 13131317. The reversal of 13131314 is 41313131.
It can be written as a sum of positive squares in only one way, i.e., 11526025 + 1605289 = 3395^2 + 1267^2 .
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 13131292 and 13131301.
It is not an unprimeable number, because it can be changed into a prime (13131317) 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 5 ways as a sum of consecutive naturals, for example, 66899 + ... + 67094.
Almost surely, 213131314 is an apocalyptic number.
13131314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
13131314 is a deficient number, since it is larger than the sum of its proper divisors (9781660).
13131314 is a wasteful number, since it uses less digits than its factorization.
13131314 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134009 (or 134002 counting only the distinct ones).
The product of its digits is 108, while the sum is 17.
The square root of 13131314 is about 3623.7154965587. The cubic root of 13131314 is about 235.9225183739.
Adding to 13131314 its reverse (41313131), we get a palindrome (54444445).
The spelling of 13131314 in words is "thirteen million, one hundred thirty-one thousand, three hundred fourteen".
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