Base | Representation |
---|---|
bin | 111100001110111… |
… | …1110000100001010 |
3 | 12012212002122121000 |
4 | 1320131332010022 |
5 | 13114401403224 |
6 | 532315355430 |
7 | 101041153611 |
oct | 17035760412 |
9 | 5185078530 |
10 | 2021122314 |
11 | 947964122 |
12 | 484a52b76 |
13 | 262961583 |
14 | 1525d6878 |
15 | bc6860c9 |
hex | 7877e10a |
2021122314 has 64 divisors (see below), whose sum is σ = 4648320000. Its totient is φ = 650280960.
The previous prime is 2021122297. The next prime is 2021122319. The reversal of 2021122314 is 4132211202.
It is a happy number.
2021122314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2021122319) 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, 750282 + ... + 752970.
It is an arithmetic number, because the mean of its divisors is an integer number (72630000).
Almost surely, 22021122314 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2021122314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324160000).
2021122314 is an abundant number, since it is smaller than the sum of its proper divisors (2627197686).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2021122314 is a wasteful number, since it uses less digits than its factorization.
2021122314 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3180 (or 3174 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2021122314 is about 44956.8939540979. The cubic root of 2021122314 is about 1264.3409345274.
Adding to 2021122314 its reverse (4132211202), we get a palindrome (6153333516).
The spelling of 2021122314 in words is "two billion, twenty-one million, one hundred twenty-two thousand, three hundred fourteen".
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