Search a number
-
+
13231314 = 232735073
BaseRepresentation
bin110010011110…
…010011010010
3220220012221200
4302132103102
511341400224
61151332030
7220315155
oct62362322
926805850
1013231314
117517978
124521016
1329835a5
141a85c9c
1512655c9
hexc9e4d2

13231314 has 12 divisors (see below), whose sum is σ = 28667886. Its totient is φ = 4410432.

The previous prime is 13231313. The next prime is 13231319. The reversal of 13231314 is 41313231.

13231314 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9715689 + 3515625 = 3117^2 + 1875^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 735073 = 13231314 / (1 + 3 + 2 + 3 + 1 + 3 + 1 + 4).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13231313) 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, 367519 + ... + 367554.

Almost surely, 213231314 is an apocalyptic number.

13231314 is an abundant number, since it is smaller than the sum of its proper divisors (15436572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13231314 is a wasteful number, since it uses less digits than its factorization.

13231314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735081 (or 735078 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13231314 is about 3637.4873195655. The cubic root of 13231314 is about 236.5198847383.

Adding to 13231314 its reverse (41313231), we get a palindrome (54544545).

The spelling of 13231314 in words is "thirteen million, two hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 735073 1470146 2205219 4410438 6615657 13231314