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11179888193 is a prime number
BaseRepresentation
bin10100110100101111…
…11000111001000001
31001212010221011110002
422122113320321001
5140344022410233
65045211445345
7544022324135
oct123227707101
931763834402
1011179888193
114817834521
122200156855
13109228c676
14780b393c5
154567746e8
hex29a5f8e41

11179888193 has 2 divisors, whose sum is σ = 11179888194. Its totient is φ = 11179888192.

The previous prime is 11179887967. The next prime is 11179888387. The reversal of 11179888193 is 39188897111.

11179888193 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., 10684736689 + 495151504 = 103367^2 + 22252^2 .

It is a cyclic number.

It is not a de Polignac number, because 11179888193 - 28 = 11179887937 is a prime.

It is a lonely number, since its distance to closest prime (11179888387) sets a new record.

It is not a weakly prime, because it can be changed into another prime (11179888393) 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, 5589944096 + 5589944097.

It is an arithmetic number, because the mean of its divisors is an integer number (5589944097).

Almost surely, 211179888193 is an apocalyptic number.

It is an amenable number.

11179888193 is a deficient number, since it is larger than the sum of its proper divisors (1).

11179888193 is an equidigital number, since it uses as much as digits as its factorization.

11179888193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 56.

It can be divided in two parts, 111798 and 88193, that added together give a palindrome (199991).

The spelling of 11179888193 in words is "eleven billion, one hundred seventy-nine million, eight hundred eighty-eight thousand, one hundred ninety-three".