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11123185729 is a prime number
BaseRepresentation
bin10100101101111111…
…00101100001000001
31001201012020101021211
422112333211201001
5140240013420404
65035424250121
7542433342625
oct122677454101
931635211254
1011123185729
114798826087
1221a5170941
1310835c8606
147773b9185
154517c3b04
hex296fe5841

11123185729 has 2 divisors, whose sum is σ = 11123185730. Its totient is φ = 11123185728.

The previous prime is 11123185709. The next prime is 11123185753. The reversal of 11123185729 is 92758132111.

11123185729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10996668225 + 126517504 = 104865^2 + 11248^2 .

It is a cyclic number.

It is not a de Polignac number, because 11123185729 - 223 = 11114797121 is a prime.

It is a super-2 number, since 2×111231857292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11123185691 and 11123185700.

It is not a weakly prime, because it can be changed into another prime (11123185709) 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, 5561592864 + 5561592865.

It is an arithmetic number, because the mean of its divisors is an integer number (5561592865).

Almost surely, 211123185729 is an apocalyptic number.

It is an amenable number.

11123185729 is a deficient number, since it is larger than the sum of its proper divisors (1).

11123185729 is an equidigital number, since it uses as much as digits as its factorization.

11123185729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 40.

The spelling of 11123185729 in words is "eleven billion, one hundred twenty-three million, one hundred eighty-five thousand, seven hundred twenty-nine".