Search a number
-
+
23303213033 is a prime number
BaseRepresentation
bin10101101100111110…
…101100111111101001
32020011001002212200012
4111230332230333221
5340211110304113
614412204421305
71453322020412
oct255476547751
966131085605
1023303213033
119979068951
124624247835
132274b43569
1411b0c9a809
15915c55aa8
hex56cfacfe9

23303213033 has 2 divisors, whose sum is σ = 23303213034. Its totient is φ = 23303213032.

The previous prime is 23303212997. The next prime is 23303213051. The reversal of 23303213033 is 33031230332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19764985744 + 3538227289 = 140588^2 + 59483^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23303213033 is a prime.

It is a super-2 number, since 2×233032130332 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23383213033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11651606516 + 11651606517.

It is an arithmetic number, because the mean of its divisors is an integer number (11651606517).

Almost surely, 223303213033 is an apocalyptic number.

It is an amenable number.

23303213033 is a deficient number, since it is larger than the sum of its proper divisors (1).

23303213033 is an equidigital number, since it uses as much as digits as its factorization.

23303213033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 23303213033 its reverse (33031230332), we get a palindrome (56334443365).

The spelling of 23303213033 in words is "twenty-three billion, three hundred three million, two hundred thirteen thousand, thirty-three".