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 #1100000000202898817 65 digits

Value

1000000000…01<65>
term 10^64+10^32+1
3×7×13×37×97×9901×206209×99990001×66554101249<11>×7511831308…13<14>×9999999900…01<16>
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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
10^8-10^4+1 Cyclotomic Φ₂₄ 8 dig
10^16-10^8+1 Cyclotomic Φ₄₈ 16 dig
10^32-10^16+1 Cyclotomic Φ₉₆ 32 dig
From the command linefdb · curl
fdb
fdb number id:1100000000202898817 --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":1100000000202898817},"decimal":false,"detail":2}}'