Base | Representation |
---|---|
bin | 1110010100010… |
… | …01010010100010 |
3 | 22100222201020020 |
4 | 13022021102202 |
5 | 221221200002 |
6 | 15530054310 |
7 | 2655555531 |
oct | 712112242 |
9 | 270881206 |
10 | 120100002 |
11 | 6187aa00 |
12 | 3427a396 |
13 | 1bb605b9 |
14 | 11d44318 |
15 | a8252bc |
hex | 72894a2 |
120100002 has 96 divisors (see below), whose sum is σ = 288199296. Its totient is φ = 33200640.
The previous prime is 120099977. The next prime is 120100003. The reversal of 120100002 is 200001021.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is not an unprimeable number, because it can be changed into a prime (120100003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456523 + ... + 456785.
It is an arithmetic number, because the mean of its divisors is an integer number (3002076).
Almost surely, 2120100002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144099648).
120100002 is an abundant number, since it is smaller than the sum of its proper divisors (168099294).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120100002 is a wasteful number, since it uses less digits than its factorization.
120100002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344 (or 333 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 120100002 is about 10959.0146454871. The cubic root of 120100002 is about 493.3793913455.
Adding to 120100002 its reverse (200001021), we get a palindrome (320101023).
The spelling of 120100002 in words is "one hundred twenty million, one hundred thousand, two".
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