Base | Representation |
---|---|
bin | 11101000111101100001… |
… | …010101010001110010001 |
3 | 21002022020122002212100001 |
4 | 131013230022222032101 |
5 | 230241244213310001 |
6 | 4131145221330001 |
7 | 264401445301162 |
oct | 35075412521621 |
9 | 7068218085301 |
10 | 2001122010001 |
11 | 701742229584 |
12 | 2839b7866901 |
13 | 116921b5030a |
14 | 6cbd78bb769 |
15 | 370c1760001 |
hex | 1d1ec2aa391 |
2001122010001 has 4 divisors (see below), whose sum is σ = 2001307636404. Its totient is φ = 2000936383600.
The previous prime is 2001122009959. The next prime is 2001122010011. The reversal of 2001122010001 is 1000102211002.
It is a semiprime because it is the product of two primes.
It can be written as a sum of positive squares in 2 ways, for example, as 767192051025 + 1233929958976 = 875895^2 + 1110824^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-2001122010001 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 2001122010001.
It is not an unprimeable number, because it can be changed into a prime (2001122010011) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92797030 + ... + 92818591.
It is an arithmetic number, because the mean of its divisors is an integer number (500326909101).
Almost surely, 22001122010001 is an apocalyptic number.
It is an amenable number.
2001122010001 is a deficient number, since it is larger than the sum of its proper divisors (185626403).
2001122010001 is a wasteful number, since it uses less digits than its factorization.
2001122010001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 185626402.
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 2001122010001 its reverse (1000102211002), we get a palindrome (3001224221003).
The spelling of 2001122010001 in words is "two trillion, one billion, one hundred twenty-two million, ten thousand, one".
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