Base | Representation |
---|---|
bin | 110111111100100001… |
… | …0100010101010000100 |
3 | 102111002220221201010221 |
4 | 1233321002202222010 |
5 | 3432022412410040 |
6 | 131105334354124 |
7 | 11452144533265 |
oct | 1577102425204 |
9 | 374086851127 |
10 | 120142310020 |
11 | 46a52224807 |
12 | 1b34b4bb944 |
13 | b438822c95 |
14 | 5b5a1cc96c |
15 | 31d271674a |
hex | 1bf90a2a84 |
120142310020 has 48 divisors (see below), whose sum is σ = 259331563008. Its totient is φ = 46719504000.
The previous prime is 120142310011. The next prime is 120142310023. The reversal of 120142310020 is 20013241021.
It is a junction number, because it is equal to n+sod(n) for n = 120142309976 and 120142310003.
It is not an unprimeable number, because it can be changed into a prime (120142310023) 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 15 ways as a sum of consecutive naturals, for example, 838645 + ... + 971395.
It is an arithmetic number, because the mean of its divisors is an integer number (5402740896).
Almost surely, 2120142310020 is an apocalyptic number.
120142310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120142310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129665781504).
120142310020 is an abundant number, since it is smaller than the sum of its proper divisors (139189252988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120142310020 is a wasteful number, since it uses less digits than its factorization.
120142310020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134020 (or 134018 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 120142310020 its reverse (20013241021), we get a palindrome (140155551041).
The spelling of 120142310020 in words is "one hundred twenty billion, one hundred forty-two million, three hundred ten thousand, twenty".
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