Search a number
-
+
12222101111513 is a prime number
BaseRepresentation
bin1011000111011010110111…
…1111101100001011011001
31121021102101020111120200112
42301312231333230023121
53100221330341032023
641554431123414105
72401006026216656
oct261665577541331
947242336446615
1012222101111513
1139924004a2217
121454884b24335
136a87017a3427
143037a5040c2d
15162dd17e7478
hexb1dadfec2d9

12222101111513 has 2 divisors, whose sum is σ = 12222101111514. Its totient is φ = 12222101111512.

The previous prime is 12222101111491. The next prime is 12222101111557. The reversal of 12222101111513 is 31511110122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7941952513609 + 4280148597904 = 2818147^2 + 2068852^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222101111513 - 26 = 12222101111449 is a prime.

It is a super-2 number, since 2×122221011115132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12222101111573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111050555756 + 6111050555757.

It is an arithmetic number, because the mean of its divisors is an integer number (6111050555757).

Almost surely, 212222101111513 is an apocalyptic number.

It is an amenable number.

12222101111513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222101111513 is an equidigital number, since it uses as much as digits as its factorization.

12222101111513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 23.

Adding to 12222101111513 its reverse (31511110122221), we get a palindrome (43733211233734).

The spelling of 12222101111513 in words is "twelve trillion, two hundred twenty-two billion, one hundred one million, one hundred eleven thousand, five hundred thirteen".