| Base | Representation |
|---|---|
| bin | 10011100101000001… |
| … | …000010000000010000 |
| 3 | 2000021001211110001010 |
| 4 | 103211001002000100 |
| 5 | 321023130401000 |
| 6 | 13354001010520 |
| 7 | 1342643042265 |
| oct | 234501020020 |
| 9 | 60231743033 |
| 10 | 21022122000 |
| 11 | 8a08492450 |
| 12 | 40a8323a40 |
| 13 | 1ca038c059 |
| 14 | 1035d5126c |
| 15 | 83086bd50 |
| hex | 4e5042010 |
21022122000 has 320 divisors, whose sum is σ = 74206679040. Its totient is φ = 5077696000.
The previous prime is 21022121993. The next prime is 21022122007. The reversal of 21022122000 is 22122012.
It is an interprime number because it is at equal distance from previous prime (21022121993) and next prime (21022122007).
It is a super-2 number, since 2×210221220002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (21022122007) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29237641 + ... + 29238359.
It is an arithmetic number, because the mean of its divisors is an integer number (231895872).
Almost surely, 221022122000 is an apocalyptic number.
21022122000 is a gapful number since it is divisible by the number (20) 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 21022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37103339520).
21022122000 is an abundant number, since it is smaller than the sum of its proper divisors (53184557040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21022122000 is a wasteful number, since it uses less digits than its factorization.
21022122000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1199 (or 1183 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 21022122000 its sum of digits (12), we get a palindrome (21022122012).
Adding to 21022122000 its reverse (22122012), we get a palindrome (21044244012).
It can be divided in two parts, 210221 and 22000, that added together give a triangular number (232221 = T681).
The spelling of 21022122000 in words is "twenty-one billion, twenty-two million, one hundred twenty-two thousand".
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