Base | Representation |
---|---|
bin | 111001010111101011… |
… | …0100100100100000100 |
3 | 102210000002102222020021 |
4 | 1302233112210210010 |
5 | 4004303424422040 |
6 | 132333041144524 |
7 | 11621015224540 |
oct | 1625726444404 |
9 | 383002388207 |
10 | 123201014020 |
11 | 48281840357 |
12 | 1ba6392b144 |
13 | b80541c5c6 |
14 | 5d6a516a20 |
15 | 331100424a |
hex | 1caf5a4904 |
123201014020 has 144 divisors (see below), whose sum is σ = 303878308608. Its totient is φ = 41096851200.
The previous prime is 123201013993. The next prime is 123201014033. The reversal of 123201014020 is 20410102321.
It is a junction number, because it is equal to n+sod(n) for n = 123201013985 and 123201014003.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 49220089 + ... + 49222591.
It is an arithmetic number, because the mean of its divisors is an integer number (2110266032).
Almost surely, 2123201014020 is an apocalyptic number.
123201014020 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 123201014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939154304).
123201014020 is an abundant number, since it is smaller than the sum of its proper divisors (180677294588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123201014020 is a wasteful number, since it uses less digits than its factorization.
123201014020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2738 (or 2677 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 123201014020 its reverse (20410102321), we get a palindrome (143611116341).
The spelling of 123201014020 in words is "one hundred twenty-three billion, two hundred one million, fourteen thousand, twenty".
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