Base | Representation |
---|---|
bin | 1101011111110… |
… | …00001001001000 |
3 | 21220000212110000 |
4 | 12233320021020 |
5 | 212440322044 |
6 | 15122323000 |
7 | 2543206020 |
oct | 657701110 |
9 | 256025400 |
10 | 113214024 |
11 | 589a7410 |
12 | 31ab9460 |
13 | 1a5bc261 |
14 | 11070a80 |
15 | 9e14d69 |
hex | 6bf8248 |
113214024 has 160 divisors (see below), whose sum is σ = 395524800. Its totient is φ = 29393280.
The previous prime is 113214007. The next prime is 113214029. The reversal of 113214024 is 420412311.
It is a super-3 number, since 3×1132140243 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 113213988 and 113214006.
It is not an unprimeable number, because it can be changed into a prime (113214029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48762 + ... + 51030.
It is an arithmetic number, because the mean of its divisors is an integer number (2472030).
Almost surely, 2113214024 is an apocalyptic number.
113214024 is a gapful number since it is divisible by the number (14) 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 113214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197762400).
113214024 is an abundant number, since it is smaller than the sum of its proper divisors (282310776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113214024 is a wasteful number, since it uses less digits than its factorization.
113214024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2305 (or 2292 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 113214024 is about 10640.2078927059. The cubic root of 113214024 is about 483.7638467282.
Adding to 113214024 its reverse (420412311), we get a palindrome (533626335).
The spelling of 113214024 in words is "one hundred thirteen million, two hundred fourteen thousand, twenty-four".
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