A109032 a(n) is the largest number such that when written in base n, for each possible k, the number having the first k digits of a(n) is divisible by k.

2, 510, 10801, 8002800, 328224963, 543132112659030, 1625617313969282, 976950495904635536636, 3608528850368400786036725, 633984966211379026884314402, 830642837707972528309709136652, 311178293035966860075741106050464008245, 418859156568815767928583230192107024079856024

Offset: 2

Author

Don Reble, Aug 17 2005

Keywords

• nonn
• base

Comments

This is not monotonic: a(14) > a(15).

Links

• Karl W. Heuer, Table of n, a(n) for n = 2..32
• MathStackExchange, Find the largest number having this property, Jan 2013.
• A. Mihailovs, Ponder This.
• smit0399, veeldeelbaarheid (in Dutch).

Crossrefs

Cf. A109783.

Extensions

a(13)-a(32) from Karl W. Heuer, Jan 08 2015