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11205121 is a prime number
BaseRepresentation
bin101010101111…
…101000000001
3210002021112111
4222233220001
510332030441
61040055321
7164145664
oct52575001
923067474
1011205121
116363634
123904541
132424265
1416b96db
15eb5081
hexaafa01

11205121 has 2 divisors, whose sum is σ = 11205122. Its totient is φ = 11205120.

The previous prime is 11205119. The next prime is 11205127. The reversal of 11205121 is 12150211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 1718721 = 3080^2 + 1311^2 .

It is an emirp because it is prime and its reverse (12150211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11205121 - 21 = 11205119 is a prime.

Together with 11205119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11205127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5602560 + 5602561.

It is an arithmetic number, because the mean of its divisors is an integer number (5602561).

Almost surely, 211205121 is an apocalyptic number.

It is an amenable number.

11205121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11205121 is an equidigital number, since it uses as much as digits as its factorization.

11205121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 11205121 is about 3347.4051144133. The cubic root of 11205121 is about 223.7718832565.

Adding to 11205121 its reverse (12150211), we get a palindrome (23355332).

It can be divided in two parts, 1120 and 5121, that added together give a square (6241 = 792).

The spelling of 11205121 in words is "eleven million, two hundred five thousand, one hundred twenty-one".