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A number that looks the same on half a turn is called a strobogrammatic number. In the case of 5-digit numbers, the only strobogrammatic numbers are 0, 1, 8, which look the same when rotated 180 degrees. Therefore, the only 5-digit strobogrammatic numbers are 10001, 11111, 80008.

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βˆ™ 1mo ago
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βˆ™ 11y ago

10001

10801

16091

16891

19061

19861

60009

60109

60809

61019

61119

61819

66099

66199

66899

68089

68189

68889

69069

69169

69869

80008

80108

80808

86098

86198

86898

88088

89068

89168

89868

90006

90106

90806

91016

91116

91816

96096

96196

96896

98086

98186

98886

99066

99166

99866

I think that is the lot.

The answer obviously depends on the font that is used. In the font in use here, 1 does not invert and so any number containing a 1 is not valid. In some fonts the top circle of the 8 is smaller than the bottom so that would not invert.

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Q: Write all 5 digit numbers which look the same on half a turn?
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