Base | Representation |
---|---|
bin | 1100010100010… |
… | …00110110111100 |
3 | 21012102020210110 |
4 | 12022020312330 |
5 | 202422233040 |
6 | 14130310020 |
7 | 2363133315 |
oct | 612106674 |
9 | 235366713 |
10 | 103321020 |
11 | 5335a680 |
12 | 2a728310 |
13 | 185372ca |
14 | da1760c |
15 | 910d980 |
hex | 6288dbc |
103321020 has 96 divisors (see below), whose sum is σ = 324205056. Its totient is φ = 24364800.
The previous prime is 103320989. The next prime is 103321021. The reversal of 103321020 is 20123301.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 103320987 and 103321005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103321021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22305 + ... + 26535.
It is an arithmetic number, because the mean of its divisors is an integer number (3377136).
Almost surely, 2103321020 is an apocalyptic number.
103321020 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 103321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162102528).
103321020 is an abundant number, since it is smaller than the sum of its proper divisors (220884036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103321020 is a wasteful number, since it uses less digits than its factorization.
103321020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4291 (or 4289 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 103321020 is about 10164.6947814482. The cubic root of 103321020 is about 469.2412989320.
Adding to 103321020 its reverse (20123301), we get a palindrome (123444321).
It can be divided in two parts, 103 and 321020, that added together give a palindrome (321123).
The spelling of 103321020 in words is "one hundred three million, three hundred twenty-one thousand, twenty".
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