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10106217 = 3211313789
BaseRepresentation
bin100110100011…
…010101101001
3201000110010100
4212203111221
510041344332
61000340013
7151621122
oct46432551
921013110
1010106217
115782a50
123474609
13212b014
1414b1049
15d4967c
hex9a3569

10106217 has 48 divisors (see below), whose sum is σ = 17072640. Its totient is φ = 5702400.

The previous prime is 10106203. The next prime is 10106227. The reversal of 10106217 is 71260101.

10106217 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 10106217 - 28 = 10105961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10106217.

It is not an unprimeable number, because it can be changed into a prime (10106227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113509 + ... + 113597.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 210106217 is an apocalyptic number.

It is an amenable number.

10106217 is a deficient number, since it is larger than the sum of its proper divisors (6966423).

10106217 is a wasteful number, since it uses less digits than its factorization.

10106217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10106217 is about 3179.0276815404. The cubic root of 10106217 is about 216.2035760771.

Adding to 10106217 its reverse (71260101), we get a palindrome (81366318).

It can be divided in two parts, 1010 and 6217, that added together give a palindrome (7227).

The spelling of 10106217 in words is "ten million, one hundred six thousand, two hundred seventeen".

Divisors: 1 3 9 11 31 33 37 89 93 99 111 267 279 333 341 407 801 979 1023 1147 1221 2759 2937 3069 3293 3441 3663 8277 8811 9879 10323 12617 24831 29637 30349 36223 37851 91047 102083 108669 113553 273141 306249 326007 918747 1122913 3368739 10106217