Base | Representation |
---|---|
bin | 11101000111101010111… |
… | …111001000001111011100 |
3 | 21002022012020211220212010 |
4 | 131013222333020033130 |
5 | 230241224131210022 |
6 | 4131143233111220 |
7 | 264401115064233 |
oct | 35075277101734 |
9 | 7068166756763 |
10 | 2001102210012 |
11 | 701732035554 |
12 | 2839b10b8510 |
13 | 11691aa09c49 |
14 | 6cbd5005b1a |
15 | 370beb4d50c |
hex | 1d1eafc83dc |
2001102210012 has 96 divisors (see below), whose sum is σ = 4928542053120. Its totient is φ = 630185702400.
The previous prime is 2001102210011. The next prime is 2001102210059. The reversal of 2001102210012 is 2100122011002.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 2001102210012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2001102210011) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396176887 + ... + 396181937.
It is an arithmetic number, because the mean of its divisors is an integer number (51338979720).
Almost surely, 22001102210012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2001102210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464271026560).
2001102210012 is an abundant number, since it is smaller than the sum of its proper divisors (2927439843108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001102210012 is a wasteful number, since it uses less digits than its factorization.
2001102210012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9523 (or 9521 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 2001102210012 its reverse (2100122011002), we get a palindrome (4101224221014).
The spelling of 2001102210012 in words is "two trillion, one billion, one hundred two million, two hundred ten thousand, twelve".
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