Base | Representation |
---|---|
bin | 11101101011111001101… |
… | …10110101110101001000 |
3 | 10121111210200201022111021 |
4 | 32311330312311311020 |
5 | 113202431003001300 |
6 | 2100325450442224 |
7 | 133456412643301 |
oct | 16657466656510 |
9 | 3544720638437 |
10 | 1020002000200 |
11 | 3636425a0777 |
12 | 145824733374 |
13 | 752551c3a11 |
14 | 37522acd7a8 |
15 | 1b7ec779d1a |
hex | ed7cdb5d48 |
1020002000200 has 96 divisors (see below), whose sum is σ = 2498214211200. Its totient is φ = 386233885440.
The previous prime is 1020002000191. The next prime is 1020002000209. The reversal of 1020002000200 is 20002000201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1020002000191) and next prime (1020002000209).
1020002000200 is a modest number, since divided by 2000200 gives 10200 as remainder.
It is not an unprimeable number, because it can be changed into a prime (1020002000209) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4941462 + ... + 5143738.
It is an arithmetic number, because the mean of its divisors is an integer number (26023064700).
Almost surely, 21020002000200 is an apocalyptic number.
1020002000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1020002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249107105600).
1020002000200 is an abundant number, since it is smaller than the sum of its proper divisors (1478212211000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020002000200 is a wasteful number, since it uses less digits than its factorization.
1020002000200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 203639 (or 203630 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 7.
Adding to 1020002000200 its reverse (20002000201), we get a palindrome (1040004000401).
Subtracting from 1020002000200 its reverse (20002000201), we obtain a palindrome (999999999999).
The spelling of 1020002000200 in words is "one trillion, twenty billion, two million, two hundred", and thus it is an aban number.
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