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check multiplication by digit sums mod 9 · 10^n ≡ 1 (mod 9) for all n · century-old trick · runs locally

a473b528
473×528=249744 · 473→5, 528→6, 5×6=30→3 · 249744→3 · why: 10≡1 (mod 9) so any number ≡ its digit sum (mod 9)
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