Base | Representation |
---|---|
bin | 10010100110101… |
… | …011111010100000 |
3 | 210202022220120000 |
4 | 102212223322200 |
5 | 1114401144412 |
6 | 50550020000 |
7 | 10510033410 |
oct | 2246537240 |
9 | 722286500 |
10 | 312131232 |
11 | 15020a8a6 |
12 | 88647600 |
13 | 4c88774a |
14 | 2d650640 |
15 | 1c6084dc |
hex | 129abea0 |
312131232 has 120 divisors (see below), whose sum is σ = 1049168736. Its totient is φ = 89175168.
The previous prime is 312131207. The next prime is 312131233. The reversal of 312131232 is 232131213.
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 (312131233) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9543 + ... + 26745.
Almost surely, 2312131232 is an apocalyptic number.
312131232 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 312131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524584368).
312131232 is an abundant number, since it is smaller than the sum of its proper divisors (737037504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312131232 is a wasteful number, since it uses less digits than its factorization.
312131232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17232 (or 17215 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 312131232 is about 17667.2361166086. The cubic root of 312131232 is about 678.3373683204.
Adding to 312131232 its reverse (232131213), we get a palindrome (544262445).
The spelling of 312131232 in words is "three hundred twelve million, one hundred thirty-one thousand, two hundred thirty-two".
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