Base | Representation |
---|---|
bin | 1100110100110011000… |
… | …0001001101011111100 |
3 | 210001201020200200001222 |
4 | 3031030300021223330 |
5 | 12102214220214400 |
6 | 245115122252512 |
7 | 21630002536556 |
oct | 3151460115374 |
9 | 701636620058 |
10 | 220331023100 |
11 | 85495133831 |
12 | 368504b7138 |
13 | 17a14467466 |
14 | a9423344d6 |
15 | 5ae82cb185 |
hex | 334cc09afc |
220331023100 has 72 divisors (see below), whose sum is σ = 499093056000. Its totient is φ = 84268972480.
The previous prime is 220331023079. The next prime is 220331023109. The reversal of 220331023100 is 1320133022.
220331023100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2203310231002 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (220331023109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6660401 + ... + 6693399.
It is an arithmetic number, because the mean of its divisors is an integer number (6931848000).
Almost surely, 2220331023100 is an apocalyptic number.
220331023100 is a gapful number since it is divisible by the number (20) 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 220331023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249546528000).
220331023100 is an abundant number, since it is smaller than the sum of its proper divisors (278762032900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220331023100 is a wasteful number, since it uses less digits than its factorization.
220331023100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35939 (or 35932 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
Adding to 220331023100 its reverse (1320133022), we get a palindrome (221651156122).
The spelling of 220331023100 in words is "two hundred twenty billion, three hundred thirty-one million, twenty-three thousand, one hundred".
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