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Can I write the integer 2 with some zero before as : 002

Can I precede all integer by an infinity of zero : ..........002

Does it make sense to write an integer as an infinity of numerals ? For instance, is the infinite sequence of 1 (....................11111111111111111111111111111111111111) an integer?

For all these questions, can you give me references (book, article) at undergraduate level (better) or graduate level?

Thanks

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    Thanks, I will read about it.2012-01-24

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The decimal $...1111111$ is a 10-adic number. $n$-adics are similar to integers in some ways, and like real numbers in other ways. As an exercise, what is $...3333 \cdot 3$?

Also, in many computer programming languages, a leading zero is conventionally interpreted as indicating an octal base rather than decimal.

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    @Gerry, that's right. Wikipedia explains it by saying "The 10-adic numbers are generally not used in mathematics: since 10 is not prime, the 10-adics are not a field." However, it is a ring. Is the term "n-adic" correct for the general case? [Oops, I deleted and replaced this comment and it is appearing after Gerry's response to it.]2012-01-24