| Base | Representation |
|---|---|
| bin | 101101011110101011001001… |
| … | …000110111000111000101000 |
| 3 | 222020012201120210001011221020 |
| 4 | 231132223021012320320220 |
| 5 | 202204111430224013000 |
| 6 | 1545223530412212440 |
| 7 | 60062653042111005 |
| oct | 5536531106707050 |
| 9 | 866181523034836 |
| 10 | 200020001001000 |
| 11 | 58807008066444 |
| 12 | 1a52527176a120 |
| 13 | 877ba60c2730b |
| 14 | 375703c0ca8ac |
| 15 | 181cea4e56ba0 |
| hex | b5eac91b8e28 |
200020001001000 has 256 divisors, whose sum is σ = 641314028309760. Its totient is φ = 51865901337600.
The previous prime is 200020001000951. The next prime is 200020001001001. The reversal of 200020001001000 is 100100020002.
It is a happy number.
200020001001000 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 (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 200020001001000.
It is not an unprimeable number, because it can be changed into a prime (200020001001001) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184496514 + ... + 185577486.
It is an arithmetic number, because the mean of its divisors is an integer number (2505132923085).
Almost surely, 2200020001001000 is an apocalyptic number.
200020001001000 is a gapful number since it is divisible by the number (20) 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 200020001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320657014154880).
200020001001000 is an abundant number, since it is smaller than the sum of its proper divisors (441294027308760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200020001001000 is a wasteful number, since it uses less digits than its factorization.
200020001001000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1082701 (or 1082687 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 200020001001000 its reverse (100100020002), we get a palindrome (200120101021002).
The spelling of 200020001001000 in words is "two hundred trillion, twenty billion, one million, one thousand".
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