Search a number
-
+
12200107916989 is a prime number
BaseRepresentation
bin1011000110001000111100…
…0110010011111010111101
31121012022121111102112120101
42301202033012103322331
53044341310111320424
641540352513121101
72366300022154216
oct261421706237275
947168544375511
1012200107916989
1139840449546a3
121450567559191
136a6608194c65
143026ba15240d
15162545ab0344
hexb188f193ebd

12200107916989 has 2 divisors, whose sum is σ = 12200107916990. Its totient is φ = 12200107916988.

The previous prime is 12200107916917. The next prime is 12200107917029. The reversal of 12200107916989 is 98961970100221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7871065913764 + 4329042003225 = 2805542^2 + 2080635^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200107916989 - 213 = 12200107908797 is a prime.

It is a super-2 number, since 2×122001079169892 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200107916189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100053958494 + 6100053958495.

It is an arithmetic number, because the mean of its divisors is an integer number (6100053958495).

Almost surely, 212200107916989 is an apocalyptic number.

It is an amenable number.

12200107916989 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200107916989 is an equidigital number, since it uses as much as digits as its factorization.

12200107916989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 979776, while the sum is 55.

The spelling of 12200107916989 in words is "twelve trillion, two hundred billion, one hundred seven million, nine hundred sixteen thousand, nine hundred eighty-nine".