Search a number
-
+
41413121 is a prime number
BaseRepresentation
bin1001110111111…
…0101000000001
32212221000010022
42131332220001
541100204441
64035343225
71012001651
oct235765001
985830108
1041413121
1121416322
1211a51b15
13876cb09
145700361
15398084b
hex277ea01

41413121 has 2 divisors, whose sum is σ = 41413122. Its totient is φ = 41413120.

The previous prime is 41413081. The next prime is 41413123. The reversal of 41413121 is 12131414.

It is a happy number.

41413121 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., 41280625 + 132496 = 6425^2 + 364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41413121 is a prime.

Together with 41413123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41413121.

It is not a weakly prime, because it can be changed into another prime (41413123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20706560 + 20706561.

It is an arithmetic number, because the mean of its divisors is an integer number (20706561).

Almost surely, 241413121 is an apocalyptic number.

It is an amenable number.

41413121 is a deficient number, since it is larger than the sum of its proper divisors (1).

41413121 is an equidigital number, since it uses as much as digits as its factorization.

41413121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 17.

The square root of 41413121 is about 6435.3027123827. The cubic root of 41413121 is about 345.9760110113.

Adding to 41413121 its reverse (12131414), we get a palindrome (53544535).

The spelling of 41413121 in words is "forty-one million, four hundred thirteen thousand, one hundred twenty-one".