| Base | Representation |
|---|---|
| bin | 111100111011000… |
| … | …111011110110100 |
| 3 | 2122020022120220101 |
| 4 | 330323013132310 |
| 5 | 4043131130400 |
| 6 | 245231443444 |
| 7 | 34220651065 |
| oct | 7473073664 |
| 9 | 2566276811 |
| 10 | 1022130100 |
| 11 | 484a69522 |
| 12 | 246386584 |
| 13 | 1339b8014 |
| 14 | 99a6c56c |
| 15 | 5eb0356a |
| hex | 3cec77b4 |
1022130100 has 72 divisors (see below), whose sum is σ = 2372145048. Its totient is φ = 380928000.
The previous prime is 1022130077. The next prime is 1022130107. The reversal of 1022130100 is 10312201.
It can be written as a sum of positive squares in 12 ways, for example, as 185995044 + 836135056 = 13638^2 + 28916^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1022130107) 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, 168724 + ... + 174676.
It is an arithmetic number, because the mean of its divisors is an integer number (32946459).
Almost surely, 21022130100 is an apocalyptic number.
1022130100 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 1022130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186072524).
1022130100 is an abundant number, since it is smaller than the sum of its proper divisors (1350014948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022130100 is a wasteful number, since it uses less digits than its factorization.
1022130100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6085 (or 6078 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 1022130100 is about 31970.7694621196. The cubic root of 1022130100 is about 1007.3229435982.
Adding to 1022130100 its reverse (10312201), we get a palindrome (1032442301).
The spelling of 1022130100 in words is "one billion, twenty-two million, one hundred thirty thousand, one hundred".
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