If-a-natural-number-of-3-digit-for-example-N-abc-such-that-N-100a-10b-c-a-b-c-Find-all-N-of-any-number-of-digits-e-g-N-1-2-145-

Question Number 151801 by ajfour last updated on 23/Aug/21

$${If}\:{a}\:{natural}\:{number}\:{of}\:\mathrm{3}\:{digit} \\ $$$$\left({for}\:{example}\right){N}={abc}\:\:{such}\:{that} \\ $$$${N}=\mathrm{100}{a}+\mathrm{10}{b}+{c}={a}!+{b}!+{c}! \\ $$$${Find}\:{all}\:{N}\:{of}\:{any}\:{number}\:{of} \\ $$$${digits}.\: \\ $$$${e}.{g}.\:\:{N}=\mathrm{1},\:\mathrm{2},\:\mathrm{145},\:… \\ $$

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