Base | Representation |
---|---|
bin | 11101101100011111101… |
… | …00101011101001101010 |
3 | 10121112121212110121101000 |
4 | 32312033310223221222 |
5 | 113204103432420242 |
6 | 2100421214535430 |
7 | 133500325420332 |
oct | 16661764535152 |
9 | 3545555417330 |
10 | 1020320201322 |
11 | 363796176a04 |
12 | 1458b3207576 |
13 | 752a60c51c6 |
14 | 375530800c2 |
15 | 1b81a681a4c |
hex | ed8fd2ba6a |
1020320201322 has 64 divisors (see below), whose sum is σ = 2348600832000. Its totient is φ = 327953715264.
The previous prime is 1020320201321. The next prime is 1020320201347. The reversal of 1020320201322 is 2231020230201.
1020320201322 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 320 + 20 + 1 + 322 = 666.
It is a super-2 number, since 2×10203202013222 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1020320201295 and 1020320201304.
It is not an unprimeable number, because it can be changed into a prime (1020320201321) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789079 + ... + 1631957.
It is an arithmetic number, because the mean of its divisors is an integer number (36696888000).
Almost surely, 21020320201322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1020320201322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174300416000).
1020320201322 is an abundant number, since it is smaller than the sum of its proper divisors (1328280630678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020320201322 is a wasteful number, since it uses less digits than its factorization.
1020320201322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 843692 (or 843686 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 1020320201322 its reverse (2231020230201), we get a palindrome (3251340431523).
The spelling of 1020320201322 in words is "one trillion, twenty billion, three hundred twenty million, two hundred one thousand, three hundred twenty-two".
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