Ancient Caligraphy

Logic Level 5

How many 6 digit positive integers satisfy the condition that when I write the number upside down in digital format, it increases in value by 520044?

Details and Assumptions:

  • All digits look like this in digital format:

  • Clarification: These numbers can't consist of digits 3, 4, or 7 because they are not readable when written upside down.

  • As an explicit example, when the number 120586 is written upside down, the number becomes 985021 so it increases in value by 864435.


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