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444031203133013 is a prime number
BaseRepresentation
bin110010011110110000001001…
…0001000011100011001010101
32011020011222011000002012222112
41210331200102020130121111
5431200001401000224023
64212213041344440405
7162346124102165456
oct14475402210343125
92136158130065875
10444031203133013
11119533637331a71
124197427b619105
131609bc69326552
147b913211b512d
15365040d388478
hex193d81221c655

444031203133013 has 2 divisors, whose sum is σ = 444031203133014. Its totient is φ = 444031203133012.

The previous prime is 444031203132977. The next prime is 444031203133027. The reversal of 444031203133013 is 310331302130444.

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., 372121769849764 + 71909433283249 = 19290458^2 + 8479943^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444031203133013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444031203133513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222015601566506 + 222015601566507.

It is an arithmetic number, because the mean of its divisors is an integer number (222015601566507).

Almost surely, 2444031203133013 is an apocalyptic number.

It is an amenable number.

444031203133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

444031203133013 is an equidigital number, since it uses as much as digits as its factorization.

444031203133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 444031203133013 its reverse (310331302130444), we get a palindrome (754362505263457).

The spelling of 444031203133013 in words is "four hundred forty-four trillion, thirty-one billion, two hundred three million, one hundred thirty-three thousand, thirteen".