Question
Find the largest natural number in which all digits are distinct, and if you look at every 3 consecutive digits, you get a number divisible by 13.
Topics:
Number Theory
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Modular Arithmetic / Remainder Arithmetic
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Divisibility Rules
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Divisibility Rule by 11
Combinatorics
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Case Analysis / Checking Cases
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Processes / Procedures
- Beno Arbel Olympiad, 2017, Grade 8 Question 7
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