Astronomy Star Dilemma?

Given Data:

Parallax = 0.01 arcseconds

Lambda Max = 500 nm

Apparent Magnitude = 5

How far away in parsecs is the star?

What is the temperature of the star in kelvin?

What is the absolute magnitude (M) of the star?

What is the Luminosity of the star (in solar luminosities)?

What is the radius of the star in solar radii?

Please explain, I'm stumped and this is a crucial part of my upcoming final.

Thanks in advance!

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