Search a number
-
+
11382607297 is a prime number
BaseRepresentation
bin10101001100111010…
…01100110111000001
31002101021101100210001
422212131030313001
5141302421413142
65121252440001
7552033365005
oct124635146701
932337340701
1011382607297
114911204376
122258019001
1310c52894b9
1479da28705
154694695b7
hex2a674cdc1

11382607297 has 2 divisors, whose sum is σ = 11382607298. Its totient is φ = 11382607296.

The previous prime is 11382607289. The next prime is 11382607303. The reversal of 11382607297 is 79270628311.

11382607297 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., 11204010801 + 178596496 = 105849^2 + 13364^2 .

It is a cyclic number.

It is not a de Polignac number, because 11382607297 - 23 = 11382607289 is a prime.

It is not a weakly prime, because it can be changed into another prime (11382607217) 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, 5691303648 + 5691303649.

It is an arithmetic number, because the mean of its divisors is an integer number (5691303649).

Almost surely, 211382607297 is an apocalyptic number.

It is an amenable number.

11382607297 is a deficient number, since it is larger than the sum of its proper divisors (1).

11382607297 is an equidigital number, since it uses as much as digits as its factorization.

11382607297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 11382607297 in words is "eleven billion, three hundred eighty-two million, six hundred seven thousand, two hundred ninety-seven".