Search a number
-
+
13203 = 34163
BaseRepresentation
bin11001110010011
3200010000
43032103
5410303
6141043
753331
oct31623
920100
1013203
119a13
127783
136018
144b51
153da3
hex3393

13203 has 10 divisors (see below), whose sum is σ = 19844. Its totient is φ = 8748.

The previous prime is 13187. The next prime is 13217. The reversal of 13203 is 30231.

It is a happy number.

13203 is a nontrivial binomial coefficient, being equal to C(163, 2).

It is not a de Polignac number, because 13203 - 24 = 13187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

13203 is a lucky number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1 + ... + 162.

213203 is an apocalyptic number.

13203 is the 162-nd triangular number.

13203 is a deficient number, since it is larger than the sum of its proper divisors (6641).

13203 is an equidigital number, since it uses as much as digits as its factorization.

13203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13203 is about 114.9043080132. The cubic root of 13203 is about 23.6351052764.

Adding to 13203 its reverse (30231), we get a palindrome (43434).

It can be divided in two parts, 13 and 203, that added together give a cube (216 = 63).

The spelling of 13203 in words is "thirteen thousand, two hundred three".

Divisors: 1 3 9 27 81 163 489 1467 4401 13203