| Base | Representation |
|---|---|
| bin | 10111001111001111000001… |
| … | …111001111110101100010000 |
| 3 | 111101212102020002211002200122 |
| 4 | 113033033001321332230100 |
| 5 | 101343434144000310000 |
| 6 | 1001210541201005412 |
| 7 | 30345564556330262 |
| oct | 2717170171765420 |
| 9 | 441772202732618 |
| 10 | 102202000010000 |
| 11 | 2a623696672290 |
| 12 | b567523023868 |
| 13 | 45047b8178247 |
| 14 | 1b34863241b32 |
| 15 | bc37965d7085 |
| hex | 5cf3c1e7eb10 |
102202000010000 has 400 divisors, whose sum is σ = 278799155712000. Its totient is φ = 35945428800000.
The previous prime is 102202000009873. The next prime is 102202000010003. The reversal of 102202000010000 is 10000202201.
102202000010000 is digitally balanced in base 3, 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 (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 102202000010000.
It is not an unprimeable number, because it can be changed into a prime (102202000010003) 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, 6952982651 + ... + 6952997349.
It is an arithmetic number, because the mean of its divisors is an integer number (696997889280).
Almost surely, 2102202000010000 is an apocalyptic number.
102202000010000 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 102202000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139399577856000).
102202000010000 is an abundant number, since it is smaller than the sum of its proper divisors (176597155702000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102202000010000 is a wasteful number, since it uses less digits than its factorization.
102202000010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16808 (or 16787 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
Adding to 102202000010000 its reverse (10000202201), we get a palindrome (102212000212201).
The spelling of 102202000010000 in words is "one hundred two trillion, two hundred two billion, ten thousand".
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