Search a number
-
+
12233303213 is a prime number
BaseRepresentation
bin10110110010010100…
…10110010010101101
31011120120010012012012
423121022112102231
5200023211200323
65341522051005
7612103235015
oct133112262255
934516105165
1012233303213
11520842084a
122454aa9a65
1311cc5ac471
148409ccc45
154b8ea7678
hex2d92964ad

12233303213 has 2 divisors, whose sum is σ = 12233303214. Its totient is φ = 12233303212.

The previous prime is 12233303183. The next prime is 12233303219. The reversal of 12233303213 is 31230333221.

12233303213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9077897284 + 3155405929 = 95278^2 + 56173^2 .

It is a cyclic number.

It is not a de Polignac number, because 12233303213 - 26 = 12233303149 is a prime.

It is a super-2 number, since 2×122333032132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12233303219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116651606 + 6116651607.

It is an arithmetic number, because the mean of its divisors is an integer number (6116651607).

Almost surely, 212233303213 is an apocalyptic number.

It is an amenable number.

12233303213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233303213 is an equidigital number, since it uses as much as digits as its factorization.

12233303213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12233303213 its reverse (31230333221), we get a palindrome (43463636434).

The spelling of 12233303213 in words is "twelve billion, two hundred thirty-three million, three hundred three thousand, two hundred thirteen".