Search a number
-
+
12220424441 is a prime number
BaseRepresentation
bin10110110000110010…
…01110000011111001
31011112122212212211122
423120121032003321
5200011412040231
65340342035025
7611555615411
oct133031160371
934478785748
1012220424441
115201124835
122450718a75
1311c9a204a4
1483cdd9641
154b7cb177b
hex2d864e0f9

12220424441 has 2 divisors, whose sum is σ = 12220424442. Its totient is φ = 12220424440.

The previous prime is 12220424399. The next prime is 12220424467. The reversal of 12220424441 is 14442402221.

It is a happy number.

12220424441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12220424467) can be obtained adding 12220424441 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7860595600 + 4359828841 = 88660^2 + 66029^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220424441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12220424441.

It is not a weakly prime, because it can be changed into another prime (12220424141) 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, 6110212220 + 6110212221.

It is an arithmetic number, because the mean of its divisors is an integer number (6110212221).

Almost surely, 212220424441 is an apocalyptic number.

It is an amenable number.

12220424441 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220424441 is an equidigital number, since it uses as much as digits as its factorization.

12220424441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12220424441 its reverse (14442402221), we get a palindrome (26662826662).

The spelling of 12220424441 in words is "twelve billion, two hundred twenty million, four hundred twenty-four thousand, four hundred forty-one".