Base | Representation |
---|---|
bin | 111111010001010… |
… | …1011111111101000 |
3 | 12110221211201010000 |
4 | 1332202223333220 |
5 | 13321443203222 |
6 | 550355423000 |
7 | 103416251265 |
oct | 17642537750 |
9 | 5427751100 |
10 | 2123022312 |
11 | 99a4330a4 |
12 | 4b2bb4a60 |
13 | 27aabbb28 |
14 | 161d6026c |
15 | c65b39ac |
hex | 7e8abfe8 |
2123022312 has 120 divisors (see below), whose sum is σ = 6098127750. Its totient is φ = 690059520.
The previous prime is 2123022277. The next prime is 2123022313. The reversal of 2123022312 is 2132203212.
It can be written as a sum of positive squares in 3 ways, for example, as 1046263716 + 1076758596 = 32346^2 + 32814^2 .
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 (2123022313) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1088314 + ... + 1090262.
Almost surely, 22123022312 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 2123022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049063875).
2123022312 is an abundant number, since it is smaller than the sum of its proper divisors (3975105438).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123022312 is a wasteful number, since it uses less digits than its factorization.
2123022312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2049 (or 1995 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2123022312 is about 46076.2662549821. The cubic root of 2123022312 is about 1285.2418328884.
Adding to 2123022312 its reverse (2132203212), we get a palindrome (4255225524).
Subtracting 2123022312 from its reverse (2132203212), we obtain a square (9180900 = 30302).
The spelling of 2123022312 in words is "two billion, one hundred twenty-three million, twenty-two thousand, three hundred twelve".
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