Search a number
-
+
12111321217 is a prime number
BaseRepresentation
bin10110100011110010…
…00001100010000001
31011021001120212100111
423101321001202001
5144300444234332
65321443351321
7606062350252
oct132171014201
934231525314
1012111321217
115155585986
122420082541
1311b0240378
1482c718b29
154ad40e947
hex2d1e41881

12111321217 has 2 divisors, whose sum is σ = 12111321218. Its totient is φ = 12111321216.

The previous prime is 12111321199. The next prime is 12111321223. The reversal of 12111321217 is 71212311121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10864101361 + 1247219856 = 104231^2 + 35316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12111321217 is a prime.

It is a super-2 number, since 2×121113212172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12111321227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055660608 + 6055660609.

It is an arithmetic number, because the mean of its divisors is an integer number (6055660609).

Almost surely, 212111321217 is an apocalyptic number.

It is an amenable number.

12111321217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111321217 is an equidigital number, since it uses as much as digits as its factorization.

12111321217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 22.

Adding to 12111321217 its reverse (71212311121), we get a palindrome (83323632338).

The spelling of 12111321217 in words is "twelve billion, one hundred eleven million, three hundred twenty-one thousand, two hundred seventeen".