Base | Representation |
---|---|
bin | 11101000111100101011… |
… | …111011101011001111010 |
3 | 21002021221211101021200200 |
4 | 131013211133131121322 |
5 | 230241032031201020 |
6 | 4131130141143030 |
7 | 264365615356446 |
oct | 35074537353172 |
9 | 7067854337620 |
10 | 2001010022010 |
11 | 701694a9a31a |
12 | 28398625aa76 |
13 | 1169048a012c |
14 | 6cbc6a89826 |
15 | 370b69dd590 |
hex | 1d1e57dd67a |
2001010022010 has 24 divisors (see below), whose sum is σ = 5202626057460. Its totient is φ = 533602672512.
The previous prime is 2001010021981. The next prime is 2001010022017. The reversal of 2001010022010 is 102200101002.
It can be written as a sum of positive squares in 2 ways, for example, as 1999681638201 + 1328383809 = 1414101^2 + 36447^2 .
It is a super-2 number, since 2×20010100220102 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2001010021983 and 2001010022001.
It is not an unprimeable number, because it can be changed into a prime (2001010022017) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11116722255 + ... + 11116722434.
Almost surely, 22001010022010 is an apocalyptic number.
2001010022010 is an abundant number, since it is smaller than the sum of its proper divisors (3201616035450).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001010022010 is a wasteful number, since it uses less digits than its factorization.
2001010022010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22233444702 (or 22233444699 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 2001010022010 its reverse (102200101002), we get a palindrome (2103210123012).
The spelling of 2001010022010 in words is "two trillion, one billion, ten million, twenty-two thousand, ten".
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