Base | Representation |
---|---|
bin | 1011101100110100110… |
… | …0000111001100111000 |
3 | 201012211210122210221022 |
4 | 2323031030013030320 |
5 | 11243132304000440 |
6 | 232202043202012 |
7 | 20344145211140 |
oct | 2731514071470 |
9 | 635753583838 |
10 | 201011000120 |
11 | 78280518597 |
12 | 32b5a216308 |
13 | 15c5590b1b8 |
14 | 9a2c493920 |
15 | 53670c9cb5 |
hex | 2ecd307338 |
201011000120 has 64 divisors (see below), whose sum is σ = 529492420800. Its totient is φ = 67237125120.
The previous prime is 201011000111. The next prime is 201011000129. The reversal of 201011000120 is 21000110102.
201011000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (201011000111) and next prime (201011000129).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a junction number, because it is equal to n+sod(n) for n = 201011000098 and 201011000107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201011000129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8743355 + ... + 8766314.
It is an arithmetic number, because the mean of its divisors is an integer number (8273319075).
Almost surely, 2201011000120 is an apocalyptic number.
201011000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
201011000120 is an abundant number, since it is smaller than the sum of its proper divisors (328481420680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201011000120 is a wasteful number, since it uses less digits than its factorization.
201011000120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17509728 (or 17509724 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
Adding to 201011000120 its reverse (21000110102), we get a palindrome (222011110222).
The spelling of 201011000120 in words is "two hundred one billion, eleven million, one hundred twenty", and thus it is an aban number.
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