Perfect digit-to-digit invariant
Tables of PDDIs
Without considering numbers containing a (non-leading) zero, the following is an exhaustive list of PDDIs for integer bases up to 12 (excluding 1, a PDDI in all bases): When the convention is used the following numbers are also PDDIs (as well as 0, in all bases):

Perfect digit-to-digit invariant

Section Title: Tables of PDDIs
Table Section Text: Without considering numbers containing a (non-leading) zero, the following is an exhaustive list of PDDIs for integer bases up to 12 (excluding 1, a PDDI in all bases): When the convention is used the following numbers are also PDDIs (as well as 0, in all bases):

Base	PDDIs (in that base)	PDDIs (decimal representation)

2	10 (requires 00 = 1)	2

3	12, 22	5, 8

4	131, 313	29, 55

6	22352, 23452	3164, 3416

7	13454	3665

9	31, 156262, 1656547	28, 96446, 923362

10	3435	3435

12	3A67A54832	20017650854

Sentence(s)

An example of a PDDI is 3435.

final_sentence: An example of a PDDI is 3435.