Base | Representation |
---|---|
bin | 110000000110111000… |
… | …1001011001111100100 |
3 | 100212122212101102201211 |
4 | 1200031301023033210 |
5 | 3143034403210040 |
6 | 115243212201204 |
7 | 10315060203403 |
oct | 1401561131744 |
9 | 325585342654 |
10 | 103310210020 |
11 | 3a8a4a13966 |
12 | 18032469204 |
13 | 99855580b4 |
14 | 500093763a |
15 | 2a49b578ea |
hex | 180dc4b3e4 |
103310210020 has 72 divisors (see below), whose sum is σ = 229645080504. Its totient is φ = 39015360000.
The previous prime is 103310209963. The next prime is 103310210023. The reversal of 103310210020 is 20012013301.
It can be written as a sum of positive squares in 4 ways, for example, as 7107556 + 103303102464 = 2666^2 + 321408^2 .
It is not an unprimeable number, because it can be changed into a prime (103310210023) 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 23 ways as a sum of consecutive naturals, for example, 722470 + ... + 853570.
It is an arithmetic number, because the mean of its divisors is an integer number (3189515007).
Almost surely, 2103310210020 is an apocalyptic number.
103310210020 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 103310210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114822540252).
103310210020 is an abundant number, since it is smaller than the sum of its proper divisors (126334870484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103310210020 is a wasteful number, since it uses less digits than its factorization.
103310210020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131213 (or 131180 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
Adding to 103310210020 its reverse (20012013301), we get a palindrome (123322223321).
The spelling of 103310210020 in words is "one hundred three billion, three hundred ten million, two hundred ten thousand, twenty".
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