Base | Representation |
---|---|
bin | 11110100101110101011… |
… | …111100000011011101010 |
3 | 21102222011122101001110000 |
4 | 132211311133200123222 |
5 | 233420311302420242 |
6 | 4245424140203430 |
7 | 304610504611140 |
oct | 36456537403352 |
9 | 7388148331400 |
10 | 2102210201322 |
11 | 7405a6943950 |
12 | 29b509b39576 |
13 | 123311c3783a |
14 | 73a67285590 |
15 | 39a3b29ba4c |
hex | 1e9757e06ea |
2102210201322 has 160 divisors (see below), whose sum is σ = 5915096732160. Its totient is φ = 542099913120.
The previous prime is 2102210201317. The next prime is 2102210201369. The reversal of 2102210201322 is 2231020122012.
2102210201322 is a `hidden beast` number, since 210 + 221 + 0 + 201 + 32 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2102210201295 and 2102210201304.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1127673 + ... + 2340099.
It is an arithmetic number, because the mean of its divisors is an integer number (36969354576).
Almost surely, 22102210201322 is an apocalyptic number.
2102210201322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2102210201322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957548366080).
2102210201322 is an abundant number, since it is smaller than the sum of its proper divisors (3812886530838).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102210201322 is a wasteful number, since it uses less digits than its factorization.
2102210201322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1212598 (or 1212589 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 2102210201322 its reverse (2231020122012), we get a palindrome (4333230323334).
The spelling of 2102210201322 in words is "two trillion, one hundred two billion, two hundred ten million, two hundred one thousand, three hundred twenty-two".
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