Search a number
-
+
11301133013 is a prime number
BaseRepresentation
bin10101000011001100…
…11001101011010101
31002011121002001001222
422201212121223111
5141121042224023
65105222300125
7550024021442
oct124146315325
932147061058
1011301133013
11487a216555
122234887645
1310b1431071
14792c9a9c9
15462223cc8
hex2a1999ad5

11301133013 has 2 divisors, whose sum is σ = 11301133014. Its totient is φ = 11301133012.

The previous prime is 11301133003. The next prime is 11301133057. The reversal of 11301133013 is 31033110311.

11301133013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6136842244 + 5164290769 = 78338^2 + 71863^2 .

It is a cyclic number.

It is not a de Polignac number, because 11301133013 - 230 = 10227391189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11301132982 and 11301133000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11301133003) 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, 5650566506 + 5650566507.

It is an arithmetic number, because the mean of its divisors is an integer number (5650566507).

Almost surely, 211301133013 is an apocalyptic number.

It is an amenable number.

11301133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11301133013 is an equidigital number, since it uses as much as digits as its factorization.

11301133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 11301133013 its reverse (31033110311), we get a palindrome (42334243324).

The spelling of 11301133013 in words is "eleven billion, three hundred one million, one hundred thirty-three thousand, thirteen".