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10107471 = 311535779
BaseRepresentation
bin100110100011…
…101001001111
3201000111211210
4212203221033
510041414341
61000345503
7151624563
oct46435117
921014753
1010107471
115783990
123475293
13212b76a
1414b16a3
15d49c16
hex9a3a4f

10107471 has 16 divisors (see below), whose sum is σ = 14981760. Its totient is φ = 6009120.

The previous prime is 10107437. The next prime is 10107473. The reversal of 10107471 is 17470101.

It is not a de Polignac number, because 10107471 - 26 = 10107407 is a prime.

It is a super-3 number, since 3×101074713 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141 + ... + 4638.

It is an arithmetic number, because the mean of its divisors is an integer number (936360).

Almost surely, 210107471 is an apocalyptic number.

10107471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10107471 is a deficient number, since it is larger than the sum of its proper divisors (4874289).

10107471 is a wasteful number, since it uses less digits than its factorization.

10107471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846.

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 10107471 is about 3179.2249055391. The cubic root of 10107471 is about 216.2125180340.

Adding to 10107471 its reverse (17470101), we get a palindrome (27577572).

The spelling of 10107471 in words is "ten million, one hundred seven thousand, four hundred seventy-one".

Divisors: 1 3 11 33 53 159 583 1749 5779 17337 63569 190707 306287 918861 3369157 10107471