factordbrpc · fdb
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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

FF · Fully factored
id #1100000000413593224 153 digits

Value

1000000000…01<153>
term 10^152+10^76+1
3×7×13×37×229×2281×4789×9901×21319×1458973×10749631×304077901×5287528600…09<14>×7396538933…89<18>×3395073642…41<23>×3931123022…19<25>×7532018062…07<30>
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Is factor of
Algebraic factorization 7 factors · complete

These factors follow from the form of the expression and multiply to exactly this number.

3 Intrinsic prime of Φ₃ 1 dig
37 Cyclotomic Φ₃ 2 dig
91 Cyclotomic Φ₆ 2 dig
9901 Cyclotomic Φ₁₂ 4 dig
(10^57-1)*9/((10^19-1)*999) Cyclotomic Φ₅₇ 36 dig
(10^57+1)*11/((10^19+1)*1001) Cyclotomic Φ₁₁₄ 37 dig
(10^114+1)*101/((10^38+1)*(10^6+1)) Cyclotomic Φ₂₂₈ 73 dig
From the command linefdb · curl
fdb
fdb number id:1100000000413593224 --detail 2
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000000413593224},"decimal":false,"detail":2}}'