Base | Representation |
---|---|
bin | 11011100011011… |
… | …01001110100000 |
3 | 121002220211101200 |
4 | 31301231032200 |
5 | 433132242422 |
6 | 34534001200 |
7 | 5504415246 |
oct | 1561551640 |
9 | 532824350 |
10 | 231134112 |
11 | 109518530 |
12 | 654a6200 |
13 | 38b68561 |
14 | 229a8796 |
15 | 154592ac |
hex | dc6d3a0 |
231134112 has 72 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 70039680.
The previous prime is 231134087. The next prime is 231134117. The reversal of 231134112 is 211431132.
231134112 is a `hidden beast` number, since 2 + 311 + 341 + 12 = 666.
231134112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (231134117) 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, 33312 + ... + 39647.
It is an arithmetic number, because the mean of its divisors is an integer number (9959040).
Almost surely, 2231134112 is an apocalyptic number.
231134112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
231134112 is an abundant number, since it is smaller than the sum of its proper divisors (485916768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231134112 is a wasteful number, since it uses less digits than its factorization.
231134112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72986 (or 72975 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 231134112 is about 15203.0954742776. The cubic root of 231134112 is about 613.6979631869.
Adding to 231134112 its reverse (211431132), we get a palindrome (442565244).
It can be divided in two parts, 23113 and 4112, that added together give a square (27225 = 1652).
The spelling of 231134112 in words is "two hundred thirty-one million, one hundred thirty-four thousand, one hundred twelve".
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