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11505345317 is a prime number
BaseRepresentation
bin10101011011100010…
…11010001100100101
31002200211100002200122
422231301122030211
5142030332022232
65141355251325
7555053551544
oct125561321445
932624302618
1011505345317
114974516254
122291149b45
13111483174b
147b205815b
15475111312
hex2adc5a325

11505345317 has 2 divisors, whose sum is σ = 11505345318. Its totient is φ = 11505345316.

The previous prime is 11505345287. The next prime is 11505345337. The reversal of 11505345317 is 71354350511.

11505345317 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., 8000586916 + 3504758401 = 89446^2 + 59201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11505345317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11505345337) 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, 5752672658 + 5752672659.

It is an arithmetic number, because the mean of its divisors is an integer number (5752672659).

Almost surely, 211505345317 is an apocalyptic number.

It is an amenable number.

11505345317 is a deficient number, since it is larger than the sum of its proper divisors (1).

11505345317 is an equidigital number, since it uses as much as digits as its factorization.

11505345317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 35.

Adding to 11505345317 its reverse (71354350511), we get a palindrome (82859695828).

The spelling of 11505345317 in words is "eleven billion, five hundred five million, three hundred forty-five thousand, three hundred seventeen".