Search a number
-
+
12300331973 is a prime number
BaseRepresentation
bin10110111010010100…
…00010101111000101
31011202020020121100212
423131022002233011
5200142341110343
65352314445205
7613546045106
oct133512025705
934666217325
1012300331973
115242242516
122473433805
13121044a757
1484987a3ad
154bece7c18
hex2dd282bc5

12300331973 has 2 divisors, whose sum is σ = 12300331974. Its totient is φ = 12300331972.

The previous prime is 12300331937. The next prime is 12300332041. The reversal of 12300331973 is 37913300321.

12300331973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (12300331937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11615881729 + 684450244 = 107777^2 + 26162^2 .

It is a cyclic number.

It is not a de Polignac number, because 12300331973 - 26 = 12300331909 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12300331903) 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, 6150165986 + 6150165987.

It is an arithmetic number, because the mean of its divisors is an integer number (6150165987).

Almost surely, 212300331973 is an apocalyptic number.

It is an amenable number.

12300331973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12300331973 is an equidigital number, since it uses as much as digits as its factorization.

12300331973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 32.

The spelling of 12300331973 in words is "twelve billion, three hundred million, three hundred thirty-one thousand, nine hundred seventy-three".