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10113306 = 237241839
BaseRepresentation
bin100110100101…
…000100011010
3201000210211220
4212211010122
510042111211
61000432510
7151650600
oct46450432
921023756
1010113306
115788305
123478736
132131308
1414b3870
15d4b806
hex9a511a

10113306 has 48 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 2815680.

The previous prime is 10113293. The next prime is 10113349. The reversal of 10113306 is 60331101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11635 + ... + 12473.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 210113306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10113306 is an abundant number, since it is smaller than the sum of its proper divisors (14018214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10113306 is a wasteful number, since it uses less digits than its factorization.

10113306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 10113306 is about 3180.1424496396. The cubic root of 10113306 is about 216.2541162191.

Adding to 10113306 its reverse (60331101), we get a palindrome (70444407).

The spelling of 10113306 in words is "ten million, one hundred thirteen thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 839 861 1678 1722 2009 2517 4018 5034 5873 6027 11746 12054 17619 34399 35238 41111 68798 82222 103197 123333 206394 240793 246666 481586 722379 1444758 1685551 3371102 5056653 10113306