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MATH / Suppose that N can be written in base 6 as 531340₆ and in base 8 as 124154₈. In base 10, what is the remainder when N is divided by 210?

Problem

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problem

Suppose that NN can be written in base 66 as 5313406531340_6 and in base 88 as 1241548124154_8. In base 1010, what is the remainder when NN is divided by 210210?
Plain-text mathematical notation (without MathML)
Suppose that N can be written in base 6 as 531340₆ and in base 8 as 124154₈. In base 10, what is the remainder when N is divided by 210?
Original LaTeX notation
Suppose that $N$ can be written in base $6$ as $531340_6$ and in base $8$ as $124154_8$. In base $10$, what is the remainder when $N$ is divided by $210$?

level

Level 5

type

Number Theory

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Source and history

task_id
a433824d-b4c9-57cb-9267-2fbf55b64f3f
task_key
number~5ftheory--test--a433824d-b4c9-57cb-9267-2fbf55b64f3f
task_revision_id
1
config / split
number_theory / test

Official source

initial import