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Adjective: self-absorbed  ,self-ub'sorbd
  1. Absorbed in your own interests or thoughts etc.
    "The self-absorbed celebrity rarely considered others' feelings";
    - self-involved

See also: egocentric, egoistic [Brit], egoistical, self-centered [US], self-centred [Brit, Cdn], self-interested, selfish, self-seeking, self-serving