Different Number of Backwardlinks for same domain

I typed a link search for my domain and got 2 different results.

[Orbit_Micro]

I did a link check on my domain in Google with two different formats and got two different results. This is what I typed in:

link: www.widget.com
result 254 backward links

then I typed in

link: [widget.com...]
result 13 backward links

Why does typing in two different formats give me two different results?

[ncsuk]

They as far as google or whatever engine you use are different sites/pages. If you type in simply "widget.com" you will get an even more different result.

[Orbit_Micro]

But do all of these results go toward my page rank?