Search a number
-
+
12122313017 is a prime number
BaseRepresentation
bin10110100101000101…
…11101000100111001
31011021211021022021012
423102202331010321
5144311303004032
65322515123305
7606254650313
oct132242750471
934254238235
1012122313017
115160803211
1224238a3535
1311b25bb4a9
1482dd7a7b3
154ae3816b2
hex2d28bd139

12122313017 has 2 divisors, whose sum is σ = 12122313018. Its totient is φ = 12122313016.

The previous prime is 12122312999. The next prime is 12122313041. The reversal of 12122313017 is 71031322121.

12122313017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11833958656 + 288354361 = 108784^2 + 16981^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122313017 - 214 = 12122296633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122312983 and 12122313001.

It is not a weakly prime, because it can be changed into another prime (12122313817) 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, 6061156508 + 6061156509.

It is an arithmetic number, because the mean of its divisors is an integer number (6061156509).

Almost surely, 212122313017 is an apocalyptic number.

It is an amenable number.

12122313017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122313017 is an equidigital number, since it uses as much as digits as its factorization.

12122313017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 12122313017 its reverse (71031322121), we get a palindrome (83153635138).

The spelling of 12122313017 in words is "twelve billion, one hundred twenty-two million, three hundred thirteen thousand, seventeen".