| Base | Representation |
|---|---|
| bin | 111100110011110… |
| … | …101001011100000 |
| 3 | 2122002201112220200 |
| 4 | 330303311023200 |
| 5 | 4042134021003 |
| 6 | 245122505200 |
| 7 | 34165504464 |
| oct | 7463651340 |
| 9 | 2562645820 |
| 10 | 1020220128 |
| 11 | 483984534 |
| 12 | 245805200 |
| 13 | 133499865 |
| 14 | 996d24a4 |
| 15 | 5e8776a3 |
| hex | 3ccf52e0 |
1020220128 has 72 divisors (see below), whose sum is σ = 2908884888. Its totient is φ = 339178752.
The previous prime is 1020220127. The next prime is 1020220151. The reversal of 1020220128 is 8210220201.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 1020220128.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1020220127) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109875 + ... + 118797.
It is an arithmetic number, because the mean of its divisors is an integer number (40401179).
Almost surely, 21020220128 is an apocalyptic number.
1020220128 is a gapful number since it is divisible by the number (18) 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 1020220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454442444).
1020220128 is an abundant number, since it is smaller than the sum of its proper divisors (1888664760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020220128 is a wasteful number, since it uses less digits than its factorization.
1020220128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9336 (or 9325 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 1020220128 is about 31940.8848969467. The cubic root of 1020220128 is about 1006.6951180259.
Adding to 1020220128 its reverse (8210220201), we get a palindrome (9230440329).
The spelling of 1020220128 in words is "one billion, twenty million, two hundred twenty thousand, one hundred twenty-eight".
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