Base | Representation |
---|---|
bin | 1101011111001… |
… | …10000101000000 |
3 | 21212220002221120 |
4 | 12233212011000 |
5 | 212430440112 |
6 | 15120552240 |
7 | 2542450215 |
oct | 657460500 |
9 | 255802846 |
10 | 113140032 |
11 | 58956865 |
12 | 31a82680 |
13 | 1a594685 |
14 | 11051b0c |
15 | 9dece8c |
hex | 6be6140 |
113140032 has 84 divisors (see below), whose sum is σ = 318150240. Its totient is φ = 35477504.
The previous prime is 113140031. The next prime is 113140037. The reversal of 113140032 is 230041311.
It is a super-2 number, since 2×1131400322 = 25601333681922048, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 113139993 and 113140020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (113140031) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54469 + ... + 56507.
Almost surely, 2113140032 is an apocalyptic number.
113140032 is a gapful number since it is divisible by the number (12) 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 113140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159075120).
113140032 is an abundant number, since it is smaller than the sum of its proper divisors (205010208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113140032 is a wasteful number, since it uses less digits than its factorization.
113140032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2088 (or 2061 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 113140032 is about 10636.7303246815. The cubic root of 113140032 is about 483.6584344183.
Adding to 113140032 its reverse (230041311), we get a palindrome (343181343).
The spelling of 113140032 in words is "one hundred thirteen million, one hundred forty thousand, thirty-two".
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