What is "hyperinteger"

n. (context mathematics non-standard analysis English) A hyperreal number equal to its own integer part.

In non-standard analysis, a hyperinteger n is a hyperreal number that is equal to its own integer part. A hyperinteger may be either finite or infinite. A finite hyperinteger is an ordinary integer. An example of an infinite hyperinteger is given by the class of the sequence in the ultrapower construction of the hyperreals.