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MATH / What is the sum of all positive integers that have twice as many digits when…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

What is the sum of all positive integers that have twice as many digits when written in base 22 as they have when written in base 33? Express your answer in base 1010.
Plain-text mathematical notation (without MathML)
What is the sum of all positive integers that have twice as many digits when written in base 2 as they have when written in base 3? Express your answer in base 10.
Original LaTeX notation
What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.

level

Level 5

type

Number Theory

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Source and history

task_id
db22d3c1-29a5-5e9b-a86b-7f78a20246bb
task_key
number~5ftheory--test--db22d3c1-29a5-5e9b-a86b-7f78a20246bb
task_revision_id
1
config / split
number_theory / test

Official source

initial import