Base | Representation |
---|---|
bin | 1101011111110… |
… | …10000111101000 |
3 | 21220001021112212 |
4 | 12233322013220 |
5 | 212441101440 |
6 | 15122424252 |
7 | 2543241434 |
oct | 657720750 |
9 | 256037485 |
10 | 113222120 |
11 | 58a02500 |
12 | 31b02088 |
13 | 1a5c2b4b |
14 | 110739c4 |
15 | 9e17465 |
hex | 6bfa1e8 |
113222120 has 96 divisors (see below), whose sum is σ = 283689000. Its totient is φ = 40634880.
The previous prime is 113222113. The next prime is 113222129. The reversal of 113222120 is 21222311.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 56280004 + 56942116 = 7502^2 + 7546^2 .
It is a junction number, because it is equal to n+sod(n) for n = 113222095 and 113222104.
It is not an unprimeable number, because it can be changed into a prime (113222129) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721082 + ... + 721238.
Almost surely, 2113222120 is an apocalyptic number.
113222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 113222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141844500).
113222120 is an abundant number, since it is smaller than the sum of its proper divisors (170466880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113222120 is a wasteful number, since it uses less digits than its factorization.
113222120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 339 (or 324 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 113222120 is about 10640.5883295991. The cubic root of 113222120 is about 483.7753778637.
Adding to 113222120 its reverse (21222311), we get a palindrome (134444431).
The spelling of 113222120 in words is "one hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".
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