| Base | Representation |
|---|---|
| bin | 1101011110011… |
| … | …01101011111000 |
| 3 | 21212201000220010 |
| 4 | 12233031223320 |
| 5 | 212414240440 |
| 6 | 15114501520 |
| 7 | 2541553014 |
| oct | 657155370 |
| 9 | 255630803 |
| 10 | 113040120 |
| 11 | 58898796 |
| 12 | 31a348a0 |
| 13 | 1a55b05b |
| 14 | 11027544 |
| 15 | 9dcd580 |
| hex | 6bcdaf8 |
113040120 has 128 divisors (see below), whose sum is σ = 365587200. Its totient is φ = 27869184.
The previous prime is 113040119. The next prime is 113040127. The reversal of 113040120 is 21040311.
It is a happy number.
It is a super-3 number, since 3×1130401203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 113040096 and 113040105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (113040127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97464 + ... + 98616.
It is an arithmetic number, because the mean of its divisors is an integer number (2856150).
Almost surely, 2113040120 is an apocalyptic number.
113040120 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 113040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182793600).
113040120 is an abundant number, since it is smaller than the sum of its proper divisors (252547080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113040120 is a wasteful number, since it uses less digits than its factorization.
113040120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1229 (or 1225 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 113040120 is about 10632.0327313266. The cubic root of 113040120 is about 483.5160223645.
Adding to 113040120 its reverse (21040311), we get a palindrome (134080431).
The spelling of 113040120 in words is "one hundred thirteen million, forty thousand, one hundred twenty".
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