Base | Representation |
---|---|
bin | 1111101001001… |
… | …00101100101000 |
3 | 100010220210011122 |
4 | 13310210230220 |
5 | 232043103222 |
6 | 21004314412 |
7 | 3152241224 |
oct | 764445450 |
9 | 303823148 |
10 | 131222312 |
11 | 680872a1 |
12 | 37b42a08 |
13 | 21255c50 |
14 | 135db784 |
15 | b7c0a42 |
hex | 7d24b28 |
131222312 has 32 divisors (see below), whose sum is σ = 267964200. Its totient is φ = 59879424.
The previous prime is 131222297. The next prime is 131222317. The reversal of 131222312 is 213222131.
It can be written as a sum of positive squares in 4 ways, for example, as 111809476 + 19412836 = 10574^2 + 4406^2 .
It is not an unprimeable number, because it can be changed into a prime (131222317) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2168 + ... + 16344.
Almost surely, 2131222312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133982100).
131222312 is an abundant number, since it is smaller than the sum of its proper divisors (136741888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131222312 is a wasteful number, since it uses less digits than its factorization.
131222312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14285 (or 14281 counting only the distinct ones).
The product of its digits is 144, while the sum is 17.
The square root of 131222312 is about 11455.2307702639. The cubic root of 131222312 is about 508.1624400437.
Adding to 131222312 its reverse (213222131), we get a palindrome (344444443).
It can be divided in two parts, 13122 and 2312, that multiplied together give a square (30338064 = 55082).
The spelling of 131222312 in words is "one hundred thirty-one million, two hundred twenty-two thousand, three hundred twelve".
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