| Base | Representation |
|---|---|
| bin | 101111111110011110000000… |
| … | …110110000100111000010000 |
| 3 | 1000200002111111212121121112222 |
| 4 | 233332132000312010320100 |
| 5 | 210124020042110310000 |
| 6 | 2024432310323240212 |
| 7 | 62305214655452213 |
| oct | 5776360066047020 |
| 9 | 1020074455547488 |
| 10 | 211001020010000 |
| 11 | 61260037012930 |
| 12 | 1b7b94b2819068 |
| 13 | 9097406b07c3c |
| 14 | 3a1670a83577a |
| 15 | 195d94a07da85 |
| hex | bfe780d84e10 |
211001020010000 has 400 divisors, whose sum is σ = 563074723411200. Its totient is φ = 75932736000000.
The previous prime is 211001020009999. The next prime is 211001020010003. The reversal of 211001020010000 is 10020100112.
It is a tau number, because it is divible by the number of its divisors (400).
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 211001020010000.
It is not an unprimeable number, because it can be changed into a prime (211001020010003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41873587481 + ... + 41873592519.
It is an arithmetic number, because the mean of its divisors is an integer number (1407686808528).
Almost surely, 2211001020010000 is an apocalyptic number.
211001020010000 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 211001020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281537361705600).
211001020010000 is an abundant number, since it is smaller than the sum of its proper divisors (352073703401200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211001020010000 is a wasteful number, since it uses less digits than its factorization.
211001020010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8948 (or 8927 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
Adding to 211001020010000 its reverse (10020100112), we get a palindrome (211011040110112).
The spelling of 211001020010000 in words is "two hundred eleven trillion, one billion, twenty million, ten thousand".
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