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10100419 = 72192571
BaseRepresentation
bin100110100001…
…111011000011
3201000011011121
4212201323003
510041203134
61000253111
7151565200
oct46417303
921004147
1010100419
11577965a
123471197
1321284a4
1414acca7
15d47ab4
hex9a1ec3

10100419 has 18 divisors (see below), whose sum is σ = 12422124. Its totient is φ = 8187480.

The previous prime is 10100407. The next prime is 10100423. The reversal of 10100419 is 91400101.

It is a happy number.

10100419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100419 - 27 = 10100291 is a prime.

It is a super-2 number, since 2×101004192 = 204036927951122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100429) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17404 + ... + 17974.

It is an arithmetic number, because the mean of its divisors is an integer number (690118).

Almost surely, 210100419 is an apocalyptic number.

10100419 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10100419 is a deficient number, since it is larger than the sum of its proper divisors (2321705).

10100419 is an equidigital number, since it uses as much as digits as its factorization.

10100419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 10100419 is about 3178.1156366627. The cubic root of 10100419 is about 216.1622223858.

The spelling of 10100419 in words is "ten million, one hundred thousand, four hundred nineteen".

Divisors: 1 7 19 49 133 361 571 931 2527 3997 10849 17689 27979 75943 206131 531601 1442917 10100419