Search a number
-
+
12200102210117 is a prime number
BaseRepresentation
bin1011000110001000111011…
…0000100010101001000101
31121012022121002200121012202
42301202032300202221011
53044341302131210432
641540352150524245
72366266622515133
oct261421660425105
947168532617182
1012200102210117
113984041706a78
121450565666685
136a6606c47503
143026b94a8753
15162545334462
hexb188ec22a45

12200102210117 has 2 divisors, whose sum is σ = 12200102210118. Its totient is φ = 12200102210116.

The previous prime is 12200102210063. The next prime is 12200102210171. The reversal of 12200102210117 is 71101220100221.

It is a happy number.

Together with next prime (12200102210171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (12200102210063) and next prime (12200102210171).

It can be written as a sum of positive squares in only one way, i.e., 12196899668836 + 3202541281 = 3492406^2 + 56591^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200102210117 - 210 = 12200102209093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200102210717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100051105058 + 6100051105059.

It is an arithmetic number, because the mean of its divisors is an integer number (6100051105059).

Almost surely, 212200102210117 is an apocalyptic number.

It is an amenable number.

12200102210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200102210117 is an equidigital number, since it uses as much as digits as its factorization.

12200102210117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 12200102210117 its reverse (71101220100221), we get a palindrome (83301322310338).

The spelling of 12200102210117 in words is "twelve trillion, two hundred billion, one hundred two million, two hundred ten thousand, one hundred seventeen".