Puzzles Etc

PUZZLES

1) What is the exceptional feature of 10,213,223?

2) By accident, a computer that was handling certain calculations dropped all exponents to the base line, so that – for example – the number 7 (to the power 5) appeared as 75. Is there a calculation or value that isn’t affected by such a computer glitch?

The answers to last month’s puzzles were supplied last month.

Here are the answers to this month’s puzzles:

1) The number describes itself when you read it: one zero, two ones, three twos, two threes.

2) 2 (power 5) x 9 (power 2) = 2,592 There isn’t a formula I’m aware of for this answer; you just have to stumble across it. [Adapted from Posamentier and Lehmann’s Mathematical Amazements and Surprises]