| Base | Representation |
|---|---|
| bin | 1011110000111101101… |
| … | …0010001110110010000 |
| 3 | 201022201020012221222101 |
| 4 | 2330033122101312100 |
| 5 | 11302421213310000 |
| 6 | 232504212050144 |
| 7 | 20413525511041 |
| oct | 2741732216620 |
| 9 | 638636187871 |
| 10 | 202122010000 |
| 11 | 787a0672779 |
| 12 | 3320a303954 |
| 13 | 160a1b452b1 |
| 14 | 9ad5c5a8c8 |
| 15 | 53ce8d7e6a |
| hex | 2f0f691d90 |
202122010000 has 200 divisors, whose sum is σ = 519945364224. Its totient is φ = 75828480000.
The previous prime is 202122009967. The next prime is 202122010001. The reversal of 202122010000 is 10221202.
202122010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (200).
It is a super-3 number, since 3×2021220100003 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (202122010001) 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 39 ways as a sum of consecutive naturals, for example, 52868089 + ... + 52871911.
Almost surely, 2202122010000 is an apocalyptic number.
202122010000 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 202122010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259972682112).
202122010000 is an abundant number, since it is smaller than the sum of its proper divisors (317823354224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202122010000 is a wasteful number, since it uses less digits than its factorization.
202122010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4179 (or 4158 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 202122010000 its reverse (10221202), we get a palindrome (202132231202).
The spelling of 202122010000 in words is "two hundred two billion, one hundred twenty-two million, ten thousand".
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