Search a number
-
+
13023332233 is a prime number
BaseRepresentation
bin11000010000100000…
…00100011110001001
31020121121200211021021
430020100010132021
5203132433112413
65552143112441
7640505332432
oct141020043611
936547624237
1013023332233
11558337129a
1226355a2721
1312c7180a62
148b78c0489
1551351018d
hex308404789

13023332233 has 2 divisors, whose sum is σ = 13023332234. Its totient is φ = 13023332232.

The previous prime is 13023332227. The next prime is 13023332321. The reversal of 13023332233 is 33223332031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12794324544 + 229007689 = 113112^2 + 15133^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023332233 - 29 = 13023331721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13023332198 and 13023332207.

It is not a weakly prime, because it can be changed into another prime (13023332033) 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 as a sum of consecutive naturals, namely, 6511666116 + 6511666117.

It is an arithmetic number, because the mean of its divisors is an integer number (6511666117).

Almost surely, 213023332233 is an apocalyptic number.

It is an amenable number.

13023332233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023332233 is an equidigital number, since it uses as much as digits as its factorization.

13023332233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 13023332233 its reverse (33223332031), we get a palindrome (46246664264).

The spelling of 13023332233 in words is "thirteen billion, twenty-three million, three hundred thirty-two thousand, two hundred thirty-three".