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11056566217 is a prime number
BaseRepresentation
bin10100100110000010…
…11100111111001001
31001112112212202111111
422103001130333021
5140120440104332
65025044330321
7540664155634
oct122301347711
931475782444
1011056566217
114764163934
1221869a39a1
131072871698
1476c5d6c1b
1544aa14947
hex29305cfc9

11056566217 has 2 divisors, whose sum is σ = 11056566218. Its totient is φ = 11056566216.

The previous prime is 11056566211. The next prime is 11056566223. The reversal of 11056566217 is 71266565011.

11056566217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11056566211) and next prime (11056566223).

It can be written as a sum of positive squares in only one way, i.e., 11056312201 + 254016 = 105149^2 + 504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11056566217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11056566217.

It is not a weakly prime, because it can be changed into another prime (11056566211) 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, 5528283108 + 5528283109.

It is an arithmetic number, because the mean of its divisors is an integer number (5528283109).

Almost surely, 211056566217 is an apocalyptic number.

It is an amenable number.

11056566217 is a deficient number, since it is larger than the sum of its proper divisors (1).

11056566217 is an equidigital number, since it uses as much as digits as its factorization.

11056566217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 11056566217 in words is "eleven billion, fifty-six million, five hundred sixty-six thousand, two hundred seventeen".