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5
min no such that product of digits = 10!
min no such that product of digits = 10!
Source:
February 20, 2021
number theory
Digits
product of digits
Problem Statement
Determine the smallest natural number written in the decimal system with the product of the digits equal to
10
!
=
1
⋅
2
⋅
3
⋅
.
.
.
⋅
9
⋅
10
10! = 1 \cdot 2 \cdot 3\cdot ... \cdot9\cdot10
10
!
=
1
⋅
2
⋅
3
⋅
...
⋅
9
⋅
10
.
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