Search a number
-
+
441224112221 is a prime number
BaseRepresentation
bin1100110101110110000…
…00011010100001011101
31120011212200000020202222
412122323000122201131
524212111333042341
6534410123555125
743606642034054
oct6327300324135
91504780006688
10441224112221
11160138566032
127161908baa5
13327b81a8159
14174d917939b
15b725ad044b
hex66bb01a85d

441224112221 has 2 divisors, whose sum is σ = 441224112222. Its totient is φ = 441224112220.

The previous prime is 441224112179. The next prime is 441224112223. The reversal of 441224112221 is 122211422144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 434762203225 + 6461908996 = 659365^2 + 80386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-441224112221 is a prime.

Together with 441224112223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (441224112223) 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, 220612056110 + 220612056111.

It is an arithmetic number, because the mean of its divisors is an integer number (220612056111).

Almost surely, 2441224112221 is an apocalyptic number.

It is an amenable number.

441224112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

441224112221 is an equidigital number, since it uses as much as digits as its factorization.

441224112221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2048, while the sum is 26.

Adding to 441224112221 its reverse (122211422144), we get a palindrome (563435534365).

The spelling of 441224112221 in words is "four hundred forty-one billion, two hundred twenty-four million, one hundred twelve thousand, two hundred twenty-one".