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Smallest n-digit number divisible by n!.
2

%I #11 Mar 09 2020 05:41:18

%S 1,10,102,1008,10080,100080,1002960,10039680,100154880,1001548800,

%T 10019116800,100111334400,1002550348800,10025503488000,

%U 100690926336000,1004293914624000,10314935414784000,102437979291648000

%N Smallest n-digit number divisible by n!.

%C 25! = 15511210043330985984000000 has 26 digits, so there is no 25-digit number divisible by 25!. - _Jinyuan Wang_, Mar 09 2020

%H Jinyuan Wang, <a href="/A088644/b088644.txt">Table of n, a(n) for n = 1..24</a>

%t Table[ n!Ceiling[10^(n - 1)/n! ], {n, 1, 19}] (* _Robert G. Wilson v_, Oct 30 2003 *)

%o (PARI) a(n) = n!*ceil(10^(n-1)/n!); \\ _Jinyuan Wang_, Mar 09 2020

%Y Cf. A088645.

%K nonn,base,fini,full

%O 1,2

%A _Amarnath Murthy_, Oct 28 2003

%E More terms from _Robert G. Wilson v_, Oct 30 2003