Search a number
-
+
13022033 is a prime number
BaseRepresentation
bin110001101011…
…001101010001
3220111120212112
4301223031101
511313201113
61143035105
7215454053
oct61531521
926446775
1013022033
117394712
12443ba95
13290c25b
141a2d8d3
1512235a8
hexc6b351

13022033 has 2 divisors, whose sum is σ = 13022034. Its totient is φ = 13022032.

The previous prime is 13022029. The next prime is 13022041. The reversal of 13022033 is 33022031.

13022033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11785489 + 1236544 = 3433^2 + 1112^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022033 - 22 = 13022029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13021999 and 13022017.

It is not a weakly prime, because it can be changed into another prime (13022003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511016 + 6511017.

It is an arithmetic number, because the mean of its divisors is an integer number (6511017).

Almost surely, 213022033 is an apocalyptic number.

It is an amenable number.

13022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022033 is an equidigital number, since it uses as much as digits as its factorization.

13022033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 13022033 is about 3608.6054092960. The cubic root of 13022033 is about 235.2662321475.

Adding to 13022033 its reverse (33022031), we get a palindrome (46044064).

The spelling of 13022033 in words is "thirteen million, twenty-two thousand, thirty-three".