Base | Representation |
---|---|
bin | 1011111010001111000000 |
3 | 12212121201210 |
4 | 23322033000 |
5 | 1244401422 |
6 | 150530120 |
7 | 35352240 |
oct | 13721700 |
9 | 5777653 |
10 | 3122112 |
11 | 1842764 |
12 | 1066940 |
13 | 854106 |
14 | 5b3b20 |
15 | 41a10c |
hex | 2fa3c0 |
3122112 has 112 divisors (see below), whose sum is σ = 9948672. Its totient is φ = 844800.
The previous prime is 3122107. The next prime is 3122113. The reversal of 3122112 is 2112213.
3122112 is digitally balanced in base 2, because in such base 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 (112).
It is a Harshad number since it is a multiple of its sum of digits (12).
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 a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3122113) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30862 + ... + 30962.
Almost surely, 23122112 is an apocalyptic number.
3122112 is a gapful number since it is divisible by the number (32) 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 3122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974336).
3122112 is an abundant number, since it is smaller than the sum of its proper divisors (6826560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3122112 is a wasteful number, since it uses less digits than its factorization.
3122112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 136 counting only the distinct ones).
The product of its digits is 24, while the sum is 12.
The square root of 3122112 is about 1766.9499144005. The cubic root of 3122112 is about 146.1558353590.
Adding to 3122112 its reverse (2112213), we get a palindrome (5234325).
It can be divided in two parts, 312211 and 2, that added together give a palindrome (312213).
The spelling of 3122112 in words is "three million, one hundred twenty-two thousand, one hundred twelve".
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