| Base | Representation |
|---|---|
| bin | 10010100110101… |
| … | …011111011101110 |
| 3 | 210202022220122220 |
| 4 | 102212223323232 |
| 5 | 1114401200220 |
| 6 | 50550020210 |
| 7 | 10510033551 |
| oct | 2246537356 |
| 9 | 722286586 |
| 10 | 312131310 |
| 11 | 15020a967 |
| 12 | 88647666 |
| 13 | 4c8877aa |
| 14 | 2d650698 |
| 15 | 1c608540 |
| hex | 129abeee |
312131310 has 64 divisors (see below), whose sum is σ = 770679360. Its totient is φ = 80870400.
The previous prime is 312131273. The next prime is 312131317. The reversal of 312131310 is 13131213.
It is a super-2 number, since 2×3121313102 = 194851909364632200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a Curzon number.
It is a plaindrome in base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 312131310.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312131317) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172410 + ... + 174210.
It is an arithmetic number, because the mean of its divisors is an integer number (12041865).
Almost surely, 2312131310 is an apocalyptic number.
312131310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 312131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385339680).
312131310 is an abundant number, since it is smaller than the sum of its proper divisors (458548050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312131310 is a wasteful number, since it uses less digits than its factorization.
312131310 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1973.
The product of its (nonzero) digits is 54, while the sum is 15.
The square root of 312131310 is about 17667.2383240845. The cubic root of 312131310 is about 678.3374248248.
Adding to 312131310 its reverse (13131213), we get a palindrome (325262523).
It can be divided in two parts, 31213 and 1310, that added together give a palindrome (32523).
The spelling of 312131310 in words is "three hundred twelve million, one hundred thirty-one thousand, three hundred ten".
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