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11306818513 is a prime number
BaseRepresentation
bin10101000011111000…
…00101101111010001
31002011222202220010001
422201330011233101
5141124021143023
65105544210001
7550123241314
oct124174055721
932158686101
1011306818513
11488244a111
122236769901
1310b2671b73
1479393a97b
154629986ad
hex2a1f05bd1

11306818513 has 2 divisors, whose sum is σ = 11306818514. Its totient is φ = 11306818512.

The previous prime is 11306818451. The next prime is 11306818519. The reversal of 11306818513 is 31581860311.

11306818513 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., 10606528144 + 700290369 = 102988^2 + 26463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11306818513 is a prime.

It is not a weakly prime, because it can be changed into another prime (11306818519) 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, 5653409256 + 5653409257.

It is an arithmetic number, because the mean of its divisors is an integer number (5653409257).

Almost surely, 211306818513 is an apocalyptic number.

It is an amenable number.

11306818513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11306818513 is an equidigital number, since it uses as much as digits as its factorization.

11306818513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 11306818513 in words is "eleven billion, three hundred six million, eight hundred eighteen thousand, five hundred thirteen".