Search a number
-
+
36413242121 is a prime number
BaseRepresentation
bin100001111010011001…
…011111101100001001
310110222200221100200002
4201322121133230021
51044033242221441
624421130052345
72426232310514
oct417231375411
9113880840602
1036413242121
1114496364833
12708287a0b5
133583c5a919
141a960a7d7b
15e31b8db9b
hex87a65fb09

36413242121 has 2 divisors, whose sum is σ = 36413242122. Its totient is φ = 36413242120.

The previous prime is 36413242031. The next prime is 36413242133. The reversal of 36413242121 is 12124231463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18774480400 + 17638761721 = 137020^2 + 132811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36413242121 is a prime.

It is not a weakly prime, because it can be changed into another prime (36413242141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18206621060 + 18206621061.

It is an arithmetic number, because the mean of its divisors is an integer number (18206621061).

Almost surely, 236413242121 is an apocalyptic number.

It is an amenable number.

36413242121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36413242121 is an equidigital number, since it uses as much as digits as its factorization.

36413242121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 29.

Adding to 36413242121 its reverse (12124231463), we get a palindrome (48537473584).

The spelling of 36413242121 in words is "thirty-six billion, four hundred thirteen million, two hundred forty-two thousand, one hundred twenty-one".