| Base | Representation |
|---|---|
| bin | 111100110011011… |
| … | …111101100011000 |
| 3 | 2122002120002012010 |
| 4 | 330303133230120 |
| 5 | 4042123211440 |
| 6 | 245120545520 |
| 7 | 34164660060 |
| oct | 7463375430 |
| 9 | 2562502163 |
| 10 | 1020132120 |
| 11 | 4839243a7 |
| 12 | 2457822a0 |
| 13 | 133468797 |
| 14 | 996ac3a0 |
| 15 | 5e85b580 |
| hex | 3ccdfb18 |
1020132120 has 128 divisors (see below), whose sum is σ = 3523161600. Its totient is φ = 231469056.
The previous prime is 1020132083. The next prime is 1020132121. The reversal of 1020132120 is 212310201.
It is a super-3 number, since 3×10201321203 (a number of 28 digits) contains 333 as substring.
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 = 1020132096 and 1020132105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1020132121) 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, 112392 + ... + 121128.
It is an arithmetic number, because the mean of its divisors is an integer number (27524700).
Almost surely, 21020132120 is an apocalyptic number.
1020132120 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 1020132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761580800).
1020132120 is an abundant number, since it is smaller than the sum of its proper divisors (2503029480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020132120 is a wasteful number, since it uses less digits than its factorization.
1020132120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8897 (or 8893 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1020132120 is about 31939.5071972001. The cubic root of 1020132120 is about 1006.6661700995. Note that the first 3 decimals are identical.
Adding to 1020132120 its reverse (212310201), we get a palindrome (1232442321).
The spelling of 1020132120 in words is "one billion, twenty million, one hundred thirty-two thousand, one hundred twenty".
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