Base | Representation |
---|---|
bin | 11101001010100110010… |
… | …00000011011010010110 |
3 | 10112210122121100012021110 |
4 | 32211103020003122112 |
5 | 112404321213000042 |
6 | 2044211332155450 |
7 | 132254342312013 |
oct | 16452310033226 |
9 | 3483577305243 |
10 | 1002122000022 |
11 | 356aa781aa20 |
12 | 142274768b86 |
13 | 73665aba260 |
14 | 367081bc70a |
15 | 1b102bc709c |
hex | e953203696 |
1002122000022 has 128 divisors (see below), whose sum is σ = 2369136107520. Its totient is φ = 278590464000.
The previous prime is 1002122000003. The next prime is 1002122000027. The reversal of 1002122000022 is 2200002212001.
It is a junction number, because it is equal to n+sod(n) for n = 1002121999971 and 1002122000007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1002122000027) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242701254 + ... + 242705382.
It is an arithmetic number, because the mean of its divisors is an integer number (18508875840).
Almost surely, 21002122000022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1002122000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184568053760).
1002122000022 is an abundant number, since it is smaller than the sum of its proper divisors (1367014107498).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002122000022 is a wasteful number, since it uses less digits than its factorization.
1002122000022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5830.
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 1002122000022 its reverse (2200002212001), we get a palindrome (3202124212023).
The spelling of 1002122000022 in words is "one trillion, two billion, one hundred twenty-two million, twenty-two", and thus it is an aban number.
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