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Omni-MATH / Is there an eight-digit number without zero digits, which when divided by the…

Problem

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problem

Is there an eight-digit number without zero digits, which when divided by the first digit gives the remainder 11, when divided by the second digit will give the remainder 22, ..., when divided by the eighth digit will give the remainder 88?
Plain-text mathematical notation (without MathML)
Is there an eight-digit number without zero digits, which when divided by the first digit gives the remainder 1, when divided by the second digit will give the remainder 2, ..., when divided by the eighth digit will give the remainder 8?
Original LaTeX notation
Is there an eight-digit number without zero digits, which when divided by the first digit gives the remainder $1$, when divided by the second digit will give the remainder $2$, ..., when divided by the eighth digit will give the remainder $8$?

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Source and history

task_id
a9c5af2b-d505-5da5-b553-4417e7ae44a1
task_key
test--a9c5af2b-d505-5da5-b553-4417e7ae44a1
task_revision_id
1
config / split
/ test

Official source

initial import