Base | Representation |
---|---|
bin | 111100111010101… |
… | …000001101010010 |
3 | 2122020002002012000 |
4 | 330322220031102 |
5 | 4043113031002 |
6 | 245225014430 |
7 | 34216605450 |
oct | 7472501522 |
9 | 2566062160 |
10 | 1022002002 |
11 | 48499125a |
12 | 246324416 |
13 | 133971918 |
14 | 99a379d0 |
15 | 5eaca61c |
hex | 3cea8352 |
1022002002 has 64 divisors (see below), whose sum is σ = 2615500800. Its totient is φ = 289757520.
The previous prime is 1022001989. The next prime is 1022002031. The reversal of 1022002002 is 2002002201.
1022002002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
1022002002 is a modest number, since divided by 2002 gives 1022 as remainder.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39199 + ... + 59837.
It is an arithmetic number, because the mean of its divisors is an integer number (40867200).
Almost surely, 21022002002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1022002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307750400).
1022002002 is an abundant number, since it is smaller than the sum of its proper divisors (1593498798).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022002002 is a wasteful number, since it uses less digits than its factorization.
1022002002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20788 (or 20782 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 1022002002 is about 31968.7660381191. The cubic root of 1022002002 is about 1007.2808610736.
Adding to 1022002002 its reverse (2002002201), we get a palindrome (3024004203).
The spelling of 1022002002 in words is "one billion, twenty-two million, two thousand, two".
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