Base | Representation |
---|---|
bin | 101101011111110110100101… |
… | …001001001101111000000000 |
3 | 222020111110122212201210021202 |
4 | 231133312211021031320000 |
5 | 202211423323003310422 |
6 | 1545325044205040332 |
7 | 60101551240245350 |
oct | 5537664511157000 |
9 | 866443585653252 |
10 | 200101002010112 |
11 | 588383a4015485 |
12 | 1a538ab88560a8 |
13 | 878659c5606c8 |
14 | 375ad23b96b60 |
15 | 1820146255b92 |
hex | b5fda524de00 |
200101002010112 has 80 divisors (see below), whose sum is σ = 457035145601760. Its totient is φ = 85737287344128.
The previous prime is 200101002010093. The next prime is 200101002010127. The reversal of 200101002010112 is 211010200101002.
200101002010112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2001010020101122 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 200101002010093 and 200101002010102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8555678 + ... + 21757794.
It is an arithmetic number, because the mean of its divisors is an integer number (5712939320022).
Almost surely, 2200101002010112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 200101002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228517572800880).
200101002010112 is an abundant number, since it is smaller than the sum of its proper divisors (256934143591648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200101002010112 is an equidigital number, since it uses as much as digits as its factorization.
200101002010112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13206371 (or 13206355 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 11.
Adding to 200101002010112 its reverse (211010200101002), we get a palindrome (411111202111114).
The spelling of 200101002010112 in words is "two hundred trillion, one hundred one billion, two million, ten thousand, one hundred twelve".
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