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11017652017 is a prime number
BaseRepresentation
bin10100100001011010…
…00000011100110001
31001102211122201020211
422100231000130301
5140031004331032
65021134304121
7540012332311
oct122055003461
931384581224
1011017652017
1147441a5039
122175958041
131067798128
14767387441
154473c9747
hex290b40731

11017652017 has 2 divisors, whose sum is σ = 11017652018. Its totient is φ = 11017652016.

The previous prime is 11017651927. The next prime is 11017652021. The reversal of 11017652017 is 71025671011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10503995121 + 513656896 = 102489^2 + 22664^2 .

It is an emirp because it is prime and its reverse (71025671011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11017652017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11017652017.

It is not a weakly prime, because it can be changed into another prime (11017652047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5508826008 + 5508826009.

It is an arithmetic number, because the mean of its divisors is an integer number (5508826009).

Almost surely, 211017652017 is an apocalyptic number.

It is an amenable number.

11017652017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11017652017 is an equidigital number, since it uses as much as digits as its factorization.

11017652017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 31.

The spelling of 11017652017 in words is "eleven billion, seventeen million, six hundred fifty-two thousand, seventeen".