Search a number
-
+
12233333231017 is a prime number
BaseRepresentation
bin1011001000000100101101…
…1110110100110110101001
31121022111101000201101000121
42302001023132310312221
53100412331301343032
642003525443003241
72401554254524033
oct262011336646651
947274330641017
1012233333231017
113997144760908
121456a9a669521
136a97a181c9a2
1430414ca94c53
1516333c937a97
hexb204b7b4da9

12233333231017 has 2 divisors, whose sum is σ = 12233333231018. Its totient is φ = 12233333231016.

The previous prime is 12233333230969. The next prime is 12233333231047. The reversal of 12233333231017 is 71013233333221.

12233333231017 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., 9229267796841 + 3004065434176 = 3037971^2 + 1733224^2 .

It is an emirp because it is prime and its reverse (71013233333221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12233333231017 is a prime.

It is a super-2 number, since 2×122333332310172 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12233333231047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116666615508 + 6116666615509.

It is an arithmetic number, because the mean of its divisors is an integer number (6116666615509).

Almost surely, 212233333231017 is an apocalyptic number.

It is an amenable number.

12233333231017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233333231017 is an equidigital number, since it uses as much as digits as its factorization.

12233333231017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 34.

Adding to 12233333231017 its reverse (71013233333221), we get a palindrome (83246566564238).

The spelling of 12233333231017 in words is "twelve trillion, two hundred thirty-three billion, three hundred thirty-three million, two hundred thirty-one thousand, seventeen".