Base | Representation |
---|---|
bin | 110111111110110101… |
… | …1010010110101110010 |
3 | 102111022100022221200110 |
4 | 1233331223102311302 |
5 | 3432202321231002 |
6 | 131121154002150 |
7 | 11454111002130 |
oct | 1577553226562 |
9 | 374270287613 |
10 | 120220102002 |
11 | 46a92128000 |
12 | 1b371576356 |
13 | b44b98c340 |
14 | 5b6667c750 |
15 | 31d9480e6c |
hex | 1bfdad2d72 |
120220102002 has 512 divisors, whose sum is σ = 355304226816. Its totient is φ = 26294906880.
The previous prime is 120220101979. The next prime is 120220102031. The reversal of 120220102002 is 200201022021.
120220102002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 457110523 + ... + 457110785.
It is an arithmetic number, because the mean of its divisors is an integer number (693953568).
Almost surely, 2120220102002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120220102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177652113408).
120220102002 is an abundant number, since it is smaller than the sum of its proper divisors (235084124814).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120220102002 is a wasteful number, since it uses less digits than its factorization.
120220102002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 375 (or 353 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 120220102002 its reverse (200201022021), we get a palindrome (320421124023).
It can be divided in two parts, 120220 and 102002, that added together give a palindrome (222222).
The spelling of 120220102002 in words is "one hundred twenty billion, two hundred twenty million, one hundred two thousand, two".
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