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10205441 is a prime number
BaseRepresentation
bin100110111011…
…100100000001
3201012111020022
4212323210001
510103033231
61002423225
7152513321
oct46734401
921174208
1010205441
115840554
123501b15
13216422c
1414d9281
15d68c7b
hex9bb901

10205441 has 2 divisors, whose sum is σ = 10205442. Its totient is φ = 10205440.

The previous prime is 10205411. The next prime is 10205449. The reversal of 10205441 is 14450201.

10205441 is digitally balanced in base 3, 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., 9431041 + 774400 = 3071^2 + 880^2 .

It is an emirp because it is prime and its reverse (14450201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10205441 - 214 = 10189057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10205449) 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, 5102720 + 5102721.

It is an arithmetic number, because the mean of its divisors is an integer number (5102721).

Almost surely, 210205441 is an apocalyptic number.

It is an amenable number.

10205441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205441 is an equidigital number, since it uses as much as digits as its factorization.

10205441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 10205441 is about 3194.5955925594. The cubic root of 10205441 is about 216.9088434756.

Adding to 10205441 its reverse (14450201), we get a palindrome (24655642).

The spelling of 10205441 in words is "ten million, two hundred five thousand, four hundred forty-one".