Search a number
-
+
12149447521 is a prime number
BaseRepresentation
bin10110101000010100…
…11101101101100001
31011100201022212210211
423110022131231201
5144340224310041
65325324454121
7610034412541
oct132412355541
934321285724
1012149447521
115175056822
1224309aa341
1311b80cc103
14833801321
154b1941481
hex2d429db61

12149447521 has 2 divisors, whose sum is σ = 12149447522. Its totient is φ = 12149447520.

The previous prime is 12149447461. The next prime is 12149447551. The reversal of 12149447521 is 12574494121.

12149447521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11755980625 + 393466896 = 108425^2 + 19836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12149447521 is a prime.

It is a super-3 number, since 3×121494475213 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12149447551) 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, 6074723760 + 6074723761.

It is an arithmetic number, because the mean of its divisors is an integer number (6074723761).

Almost surely, 212149447521 is an apocalyptic number.

It is an amenable number.

12149447521 is a deficient number, since it is larger than the sum of its proper divisors (1).

12149447521 is an equidigital number, since it uses as much as digits as its factorization.

12149447521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 40.

The spelling of 12149447521 in words is "twelve billion, one hundred forty-nine million, four hundred forty-seven thousand, five hundred twenty-one".