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2444220013 is a prime number
BaseRepresentation
bin1001000110101111…
…1101011001101101
320022100020020112011
42101223331121231
520001210020023
61042312041221
7114366345604
oct22153753155
96270206464
102444220013
111044775744
12582693211
132cc4cc241
14192890a3b
15e48ad50d
hex91afd66d

2444220013 has 2 divisors, whose sum is σ = 2444220014. Its totient is φ = 2444220012.

The previous prime is 2444219977. The next prime is 2444220047. The reversal of 2444220013 is 3100224442.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1992997449 + 451222564 = 44643^2 + 21242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2444220013 is a prime.

It is a super-2 number, since 2×24442200132 = 11948422943899440338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2444220073) 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, 1222110006 + 1222110007.

It is an arithmetic number, because the mean of its divisors is an integer number (1222110007).

Almost surely, 22444220013 is an apocalyptic number.

It is an amenable number.

2444220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2444220013 is an equidigital number, since it uses as much as digits as its factorization.

2444220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2444220013 is about 49439.0535204710. The cubic root of 2444220013 is about 1347.0387791880.

Adding to 2444220013 its reverse (3100224442), we get a palindrome (5544444455).

The spelling of 2444220013 in words is "two billion, four hundred forty-four million, two hundred twenty thousand, thirteen".