Search a number
-
+
13000003 = 7922083
BaseRepresentation
bin110001100101…
…110101000011
3220110110122121
4301211311003
511312000003
61142345111
7215332612
oct61456503
926413577
1013000003
11737a105
12442b197
132902213
141a25879
15121bcbd
hexc65d43

13000003 has 6 divisors (see below), whose sum is σ = 13172964. Its totient is φ = 12829284.

The previous prime is 12999997. The next prime is 13000027. The reversal of 13000003 is 30000031.

Adding to 13000003 its reverse (30000031), we get a palindrome (43000034).

It is a happy number.

13000003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13000003 - 217 = 12868931 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13000003.

It is not an unprimeable number, because it can be changed into a prime (13000303) 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, 5200 + ... + 7282.

It is an arithmetic number, because the mean of its divisors is an integer number (2195494).

Almost surely, 213000003 is an apocalyptic number.

13000003 is a deficient number, since it is larger than the sum of its proper divisors (172961).

13000003 is an frugal number, since it uses more digits than its factorization.

13000003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 13000003 is about 3605.5516914891. The cubic root of 13000003 is about 235.1334868593.

The spelling of 13000003 in words is "thirteen million, three", and thus it is an aban number and an uban number.

Divisors: 1 79 2083 6241 164557 13000003