| Base | Representation |
|---|---|
| bin | 10010101010101111… |
| … | …01010011010111100 |
| 3 | 221212110112120012101 |
| 4 | 21111113222122330 |
| 5 | 131011140413040 |
| 6 | 4334254314444 |
| 7 | 503234205646 |
| oct | 112527523274 |
| 9 | 27773476171 |
| 10 | 10022201020 |
| 11 | 42832a8a67 |
| 12 | 1b384b8a24 |
| 13 | c39491680 |
| 14 | 6b10a1896 |
| 15 | 3d9ce609a |
| hex | 2555ea6bc |
10022201020 has 96 divisors (see below), whose sum is σ = 22979529216. Its totient is φ = 3649536000.
The previous prime is 10022201009. The next prime is 10022201027. The reversal of 10022201020 is 2010222001.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 10022200988 and 10022201006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022201027) 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 31 ways as a sum of consecutive naturals, for example, 10112725 + ... + 10113715.
It is an arithmetic number, because the mean of its divisors is an integer number (239370096).
Almost surely, 210022201020 is an apocalyptic number.
10022201020 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 10022201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489764608).
10022201020 is an abundant number, since it is smaller than the sum of its proper divisors (12957328196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022201020 is a wasteful number, since it uses less digits than its factorization.
10022201020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1511 (or 1509 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 10022201020 its reverse (2010222001), we get a palindrome (12032423021).
It can be divided in two parts, 1002 and 2201020, that added together give a palindrome (2202022).
The spelling of 10022201020 in words is "ten billion, twenty-two million, two hundred one thousand, twenty".
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