Search a number
-
+
113022 = 23371323
BaseRepresentation
bin11011100101111110
312202001000
4123211332
512104042
62231130
7650340
oct334576
9182030
10113022
1177a08
12554a6
133c5a0
142d290
152374c
hex1b97e

113022 has 64 divisors (see below), whose sum is σ = 322560. Its totient is φ = 28512.

The previous prime is 113021. The next prime is 113023. The reversal of 113022 is 220311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113021) and next prime (113023).

It is a Harshad number since it is a multiple of its sum of digits (9).

113022 is a Rhonda number in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 112995 and 113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4903 + ... + 4925.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2113022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

113022 is an abundant number, since it is smaller than the sum of its proper divisors (209538).

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

113022 is a wasteful number, since it uses less digits than its factorization.

113022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 113022 is about 336.1874477133. The cubic root of 113022 is about 48.3490185583.

Adding to 113022 its reverse (220311), we get a palindrome (333333).

The spelling of 113022 in words is "one hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 27 39 42 46 54 63 69 78 91 117 126 138 161 182 189 207 234 273 299 322 351 378 414 483 546 598 621 702 819 897 966 1242 1449 1638 1794 2093 2457 2691 2898 4186 4347 4914 5382 6279 8073 8694 12558 16146 18837 37674 56511 113022