Phone Number riddle: Solve & Remember

[tribdog]

It's not a toll free call, but if you dial it I'll answer. Here's an easy way to remember my phone number, you just break it into pieces:

the three digit area code:
the first digit is half the second digit and while the product of all 3 is a single digit their sum has two.

the prefix:
three digits, exactly two of which are the same. The difference between the first and the single digit sum of the other two is twice as big as the first is smaller than the single digit product of the other two.

the suffix:
the first two digits and the last two digits (in order) of a ten digit string of single digit numbers popular with both NASA and bomb exploders.

See how easy that was? OH I almost forgot there is also a three digit extension and the first digit equals the second but not the third and the sum of the digits of the product of the sum and the product of the digits of the extension is equal to the sum of the digits of the extension itself.

 

[Alkatran]

Oh that is cruel. I was going over how in the hell I could find three digits that multiplied to a single digit but also had one digit twice as large as the other for a good 10 minutes before I remembered 0.

Wait, is 0 considered a single digit number? Is it a single digit number? How is single digit defined? "6" is single digit so "06" is single digit, even though we used two digits. Wait, did I go off on a tangent?

 

[franznietzsche]

Oh that is cruel. I was going over how in the hell I could find three digits that multiplied to a single digit but also had one digit twice as large as the other for a good 10 minutes before I remembered 0.

Wait, is 0 considered a single digit number? Is it a single digit number? How is single digit defined? "6" is single digit so "06" is single digit, even though we used two digits. Wait, did I go off on a tangent?

I already have the area code, but I have mutliple solutions for the prefix that work, so I gave up.

 

[Gokul43201]

Don't know about the NASA stuff, but here's one solution for the rest:

(480) 833-abcd, ext:114

 

[tribdog]

and that ext # doesn't work. try again

 

[Gokul43201]

OH I almost forgot there is also a three digit extension and the first digit equals the second but not the third and the sum of the digits of the product of the sum and the product of the digits of the extension is equal to the sum of the digits of the extension itself.

Sum of digits of ext itself = 1+1+4=6

Sum=6, product=4 =>product of (sum and product)=6*4=24 => sum of digits of (product of (sum and product))=2+4=6

I don't see the error. Or are you saying there isn't an error, but that's not the number to your phone?

 

[tribdog]

my extension is 117