factordbrpc · fdb
Sign in
>
?

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 #1100000000413593209 141 digits created before Nov 2018

Value

1000000000…01<141>
term 10^140+10^70+1
3×72×13×31×37×43×127×211×241×1933×2161×2689×459691×2906161×10838689×29970369241<11>×30703738801<11>×625437743071<12>×1661378260…61<16>×1827616884…91<23>×5780205030…41<26>
Show full digits Permalink ‹ prev prime next prime ›
Is factor of
Algebraic factorization 10 factors · complete

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

3 Intrinsic prime of Φ₃ 1 dig
7 Intrinsic prime of Φ₄₂ 1 dig
37 Cyclotomic Φ₃ 2 dig
91 Cyclotomic Φ₆ 2 dig
(10^15-1)*9/((10^5-1)*999) Cyclotomic Φ₁₅ 8 dig
(10^15+1)*11/((10^5+1)*1001) Cyclotomic Φ₃₀ 9 dig
(10^21+1)*11/((10^7+1)*1001)/7 Cyclotomic Φ₄₂ 12 dig
(10^21-1)*9/((10^7-1)*999) Cyclotomic Φ₂₁ 12 dig
(10^105+1)*(10^7+1)*(10^5+1)*1001/((10^35+1)*(10^21+1)*(10^15+1)*11) Cyclotomic Φ₂₁₀ 48 dig
(10^105-1)*(10^7-1)*(10^5-1)*999/((10^35-1)*(10^21-1)*(10^15-1)*9) Cyclotomic Φ₁₀₅ 49 dig
From the command linefdb · curl
fdb
fdb number id:1100000000413593209 --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":1100000000413593209},"decimal":false,"detail":2}}'