Base | Representation |
---|---|
bin | 111011101000110… |
… | …1010101111010010 |
3 | 12011110110102212100 |
4 | 1313101222233102 |
5 | 13044241321320 |
6 | 530322541230 |
7 | 100406145465 |
oct | 16721525722 |
9 | 5143412770 |
10 | 2001120210 |
11 | 937642261 |
12 | 47a207816 |
13 | 25b77a1cb |
14 | 14daab2dc |
15 | baa34790 |
hex | 7746abd2 |
2001120210 has 96 divisors (see below), whose sum is σ = 5474235312. Its totient is φ = 506511360.
The previous prime is 2001120203. The next prime is 2001120211. The reversal of 2001120210 is 120211002.
It can be written as a sum of positive squares in 8 ways, for example, as 1452295881 + 548824329 = 38109^2 + 23427^2 .
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 = 2001120192 and 2001120201.
It is not an unprimeable number, because it can be changed into a prime (2001120211) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129202 + ... + 143858.
Almost surely, 22001120210 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2001120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737117656).
2001120210 is an abundant number, since it is smaller than the sum of its proper divisors (3473115102).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001120210 is a wasteful number, since it uses less digits than its factorization.
2001120210 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14748 (or 14745 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2001120210 is about 44733.8821252974. The cubic root of 2001120210 is about 1260.1562353507.
Adding to 2001120210 its reverse (120211002), we get a palindrome (2121331212).
The spelling of 2001120210 in words is "two billion, one million, one hundred twenty thousand, two hundred ten".
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