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11205353224193 is a prime number
BaseRepresentation
bin1010001100001111001100…
…0110010011100000000001
31110200012222022222022212112
42203003303012103200001
52432042030411133233
635455400155505105
72234363045611052
oct243036306234001
943605868868775
1011205353224193
113630188854737
12130b80a158195
136338778166bb
142aa4b05c4729
15146724aa9048
hexa30f3193801

11205353224193 has 2 divisors, whose sum is σ = 11205353224194. Its totient is φ = 11205353224192.

The previous prime is 11205353224183. The next prime is 11205353224213. The reversal of 11205353224193 is 39142235350211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10053826783729 + 1151526440464 = 3170777^2 + 1073092^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11205353224193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11205353224193.

It is not a weakly prime, because it can be changed into another prime (11205353224103) 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, 5602676612096 + 5602676612097.

It is an arithmetic number, because the mean of its divisors is an integer number (5602676612097).

Almost surely, 211205353224193 is an apocalyptic number.

It is an amenable number.

11205353224193 is a deficient number, since it is larger than the sum of its proper divisors (1).

11205353224193 is an equidigital number, since it uses as much as digits as its factorization.

11205353224193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 11205353224193 in words is "eleven trillion, two hundred five billion, three hundred fifty-three million, two hundred twenty-four thousand, one hundred ninety-three".