Base | Representation |
---|---|
bin | 1111101001001… |
… | …00101001100000 |
3 | 100010220202220020 |
4 | 13310210221200 |
5 | 232043101422 |
6 | 21004313440 |
7 | 3152240520 |
oct | 764445140 |
9 | 303822806 |
10 | 131222112 |
11 | 6808712a |
12 | 37b42880 |
13 | 21255b28 |
14 | 135db680 |
15 | b7c095c |
hex | 7d24a60 |
131222112 has 48 divisors (see below), whose sum is σ = 393668352. Its totient is φ = 37491840.
The previous prime is 131222093. The next prime is 131222123. The reversal of 131222112 is 211222131.
It is a tau number, because it is divible by the number of its divisors (48).
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 junction number, because it is equal to n+sod(n) for n = 131222091 and 131222100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96964 + ... + 98307.
It is an arithmetic number, because the mean of its divisors is an integer number (8201424).
Almost surely, 2131222112 is an apocalyptic number.
131222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
131222112 is an abundant number, since it is smaller than the sum of its proper divisors (262446240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131222112 is a wasteful number, since it uses less digits than its factorization.
131222112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195291 (or 195283 counting only the distinct ones).
The product of its digits is 48, while the sum is 15.
The square root of 131222112 is about 11455.2220406241. Note that the first 3 decimals coincide. The cubic root of 131222112 is about 508.1621818748.
Adding to 131222112 its reverse (211222131), we get a palindrome (342444243).
The spelling of 131222112 in words is "one hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".
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