August 2017 Fiendish Function

The Fiendish Function posed during August 2017 had the following sample guesses and replies:

• GUESS
• REPLY
• 1
• 2
• 2
• 12
• 3
• 14
• 4
• 104
• 5
• 106
• 10
• 1020

The rule was: "Write the number in binary, then add the original number".

Suppose the guess was 22:

• Write the number in binary, giving 10110.
• Add the original number, giving 10132.

So the result is 10132.