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44012310121217 is a prime number
BaseRepresentation
bin10100000000111011010100…
…00111000100101100000001
312202211112110120021122221002
422000131222013010230001
521232044202342334332
6233334550502541345
712161533034256104
oct1200355207045401
9182745416248832
1044012310121217
1113029574734a39
124b29a69737855
131b7345c85a599
14ac22c86c273b
15514cdb7a5562
hex28076a1c4b01

44012310121217 has 2 divisors, whose sum is σ = 44012310121218. Its totient is φ = 44012310121216.

The previous prime is 44012310121201. The next prime is 44012310121271. The reversal of 44012310121217 is 71212101321044.

Together with next prime (44012310121271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28217758337521 + 15794551783696 = 5312039^2 + 3974236^2 .

It is a cyclic number.

It is not a de Polignac number, because 44012310121217 - 24 = 44012310121201 is a prime.

It is a super-2 number, since 2×440123101212172 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44012310121217.

It is not a weakly prime, because it can be changed into another prime (44012310121817) 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, 22006155060608 + 22006155060609.

It is an arithmetic number, because the mean of its divisors is an integer number (22006155060609).

Almost surely, 244012310121217 is an apocalyptic number.

It is an amenable number.

44012310121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

44012310121217 is an equidigital number, since it uses as much as digits as its factorization.

44012310121217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 44012310121217 in words is "forty-four trillion, twelve billion, three hundred ten million, one hundred twenty-one thousand, two hundred seventeen".