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113106 = 2372693
BaseRepresentation
bin11011100111010010
312202011010
4123213102
512104411
62231350
7650520
oct334722
9182133
10113106
1177a84
1255556
133c636
142d310
15237a6
hex1b9d2

113106 has 16 divisors (see below), whose sum is σ = 258624. Its totient is φ = 32304.

The previous prime is 113093. The next prime is 113111. The reversal of 113106 is 601311.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 113091 and 113100.

It is a congruent number.

It is an unprimeable number.

113106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (16164).

2113106 is an apocalyptic number.

113106 is an abundant number, since it is smaller than the sum of its proper divisors (145518).

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

113106 is a wasteful number, since it uses less digits than its factorization.

113106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113106 is about 336.3123548132. The cubic root of 113106 is about 48.3609935480.

Adding to 113106 its reverse (601311), we get a palindrome (714417).

The spelling of 113106 in words is "one hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 2693 5386 8079 16158 18851 37702 56553 113106