| Base | Representation |
|---|---|
| bin | 10010101010100111… |
| … | …11010111010100000 |
| 3 | 221212101200201111022 |
| 4 | 21111103322322200 |
| 5 | 131010413020000 |
| 6 | 4334221305012 |
| 7 | 503222651561 |
| oct | 112523727240 |
| 9 | 27771621438 |
| 10 | 10021220000 |
| 11 | 4282798a00 |
| 12 | 1b38105168 |
| 13 | c39209c9c |
| 14 | 6b0cc8168 |
| 15 | 3d9ba0585 |
| hex | 2554faea0 |
10021220000 has 360 divisors, whose sum is σ = 28034491716. Its totient is φ = 3520000000.
The previous prime is 10021219987. The next prime is 10021220003. The reversal of 10021220000 is 2212001.
10021220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 10 ways, for example, as 727488784 + 9293731216 = 26972^2 + 96404^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 10021220000.
It is not an unprimeable number, because it can be changed into a prime (10021220003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 99219950 + ... + 99220050.
Almost surely, 210021220000 is an apocalyptic number.
10021220000 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 10021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017245858).
10021220000 is an abundant number, since it is smaller than the sum of its proper divisors (18013271716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021220000 is a wasteful number, since it uses less digits than its factorization.
10021220000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
Adding to 10021220000 its reverse (2212001), we get a palindrome (10023432001).
The spelling of 10021220000 in words is "ten billion, twenty-one million, two hundred twenty thousand".
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