Base | Representation |
---|---|
bin | 110111111110001111… |
… | …1000000000010000100 |
3 | 102111020221200211212101 |
4 | 1233330133000002010 |
5 | 3432132211231040 |
6 | 131115201201444 |
7 | 11453446003135 |
oct | 1577437000204 |
9 | 374227624771 |
10 | 120200102020 |
11 | 46a81907799 |
12 | 1b366930284 |
13 | b4477a8c2b |
14 | 5b63b53c8c |
15 | 31d783009a |
hex | 1bfc7c0084 |
120200102020 has 96 divisors (see below), whose sum is σ = 259173260640. Its totient is φ = 46813593600.
The previous prime is 120200102003. The next prime is 120200102023. The reversal of 120200102020 is 20201002021.
It can be written as a sum of positive squares in 16 ways, for example, as 6123688516 + 114076413504 = 78254^2 + 337752^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 120200101988 and 120200102006.
It is not an unprimeable number, because it can be changed into a prime (120200102023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60310144 + ... + 60312136.
It is an arithmetic number, because the mean of its divisors is an integer number (2699721465).
Almost surely, 2120200102020 is an apocalyptic number.
120200102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
120200102020 is an abundant number, since it is smaller than the sum of its proper divisors (138973158620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120200102020 is a wasteful number, since it uses less digits than its factorization.
120200102020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2585 (or 2583 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 120200102020 its reverse (20201002021), we get a palindrome (140401104041).
Subtracting from 120200102020 its reverse (20201002021), we obtain a palindrome (99999099999).
The spelling of 120200102020 in words is "one hundred twenty billion, two hundred million, one hundred two thousand, twenty".
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