| Base | Representation |
|---|---|
| bin | 101101101100111101110010… |
| … | …110001010101001100100000 |
| 3 | 222100200121112221121112220222 |
| 4 | 231230331302301111030200 |
| 5 | 202321204300101120000 |
| 6 | 1551255031234422212 |
| 7 | 60223631263043036 |
| oct | 5554756261251440 |
| 9 | 870617487545828 |
| 10 | 201002100020000 |
| 11 | 5905556a390364 |
| 12 | 1a663678731968 |
| 13 | 88205556516b6 |
| 14 | 378c7a6d20556 |
| 15 | 18387d4d73a85 |
| hex | b6cf72c55320 |
201002100020000 has 480 divisors, whose sum is σ = 524538429972480. Its totient is φ = 75639358080000.
The previous prime is 201002100019859. The next prime is 201002100020003. The reversal of 201002100020000 is 20001200102.
201002100020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 201002100020000.
It is not an unprimeable number, because it can be changed into a prime (201002100020003) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9557409485 + ... + 9557430515.
It is an arithmetic number, because the mean of its divisors is an integer number (1092788395776).
Almost surely, 2201002100020000 is an apocalyptic number.
201002100020000 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 201002100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262269214986240).
201002100020000 is an abundant number, since it is smaller than the sum of its proper divisors (323536329952480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201002100020000 is a wasteful number, since it uses less digits than its factorization.
201002100020000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21426 (or 21403 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
Adding to 201002100020000 its reverse (20001200102), we get a palindrome (201022101220102).
The spelling of 201002100020000 in words is "two hundred one trillion, two billion, one hundred million, twenty thousand".
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