Search a number
-
+
41224233313 is a prime number
BaseRepresentation
bin100110011001001001…
…111110000101100001
310221101222200000220001
4212121021332011201
51133411400431223
630534350220001
72656401126064
oct463111760541
9127358600801
1041224233313
111653500670a
127ba5ab4601
133b6c8acc83
141dd10088db
15111420c9ad
hex99927e161

41224233313 has 2 divisors, whose sum is σ = 41224233314. Its totient is φ = 41224233312.

The previous prime is 41224233311. The next prime is 41224233361. The reversal of 41224233313 is 31333242214.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38788514704 + 2435718609 = 196948^2 + 49353^2 .

It is a cyclic number.

It is not a de Polignac number, because 41224233313 - 21 = 41224233311 is a prime.

Together with 41224233311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (41224233311) 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, 20612116656 + 20612116657.

It is an arithmetic number, because the mean of its divisors is an integer number (20612116657).

Almost surely, 241224233313 is an apocalyptic number.

It is an amenable number.

41224233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

41224233313 is an equidigital number, since it uses as much as digits as its factorization.

41224233313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 28.

Adding to 41224233313 its reverse (31333242214), we get a palindrome (72557475527).

The spelling of 41224233313 in words is "forty-one billion, two hundred twenty-four million, two hundred thirty-three thousand, three hundred thirteen".