Base | Representation |
---|---|
bin | 11110111000100100110… |
… | …111001111001010001110 |
3 | 21111220002222122210002200 |
4 | 132320210313033022032 |
5 | 234233014032212024 |
6 | 4302552550502330 |
7 | 306222241634436 |
oct | 36704467171216 |
9 | 7456088583080 |
10 | 2122332304014 |
11 | 74909229048a |
12 | 2a33a49649a6 |
13 | 12519a9c4490 |
14 | 74a158732c6 |
15 | 3a317ad62c9 |
hex | 1ee24dcf28e |
2122332304014 has 96 divisors (see below), whose sum is σ = 4974573187584. Its totient is φ = 650066644800.
The previous prime is 2122332304007. The next prime is 2122332304049. The reversal of 2122332304014 is 4104032332212.
2122332304014 is a `hidden beast` number, since 2 + 1 + 2 + 23 + 3 + 230 + 401 + 4 = 666.
It is a super-2 number, since 2×21223323040142 (a number of 25 digits) contains 22 as substring.
It is a Curzon number.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89285559 + ... + 89309325.
It is an arithmetic number, because the mean of its divisors is an integer number (51818470704).
Almost surely, 22122332304014 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122332304014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487286593792).
2122332304014 is an abundant number, since it is smaller than the sum of its proper divisors (2852240883570).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122332304014 is a wasteful number, since it uses less digits than its factorization.
2122332304014 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25502 (or 25499 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 2122332304014 its reverse (4104032332212), we get a palindrome (6226364636226).
The spelling of 2122332304014 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-two million, three hundred four thousand, fourteen".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.076 sec. • engine limits •