Base | Representation |
---|---|
bin | 111011111011111… |
… | …0110100010010001 |
3 | 12012011021222201100 |
4 | 1313313312202101 |
5 | 13104322130001 |
6 | 531321255013 |
7 | 100560215526 |
oct | 16767664221 |
9 | 5164258640 |
10 | 2011130001 |
11 | 942259811 |
12 | 481634469 |
13 | 26087336a |
14 | 15115514d |
15 | bb860586 |
hex | 77df6891 |
2011130001 has 6 divisors (see below), whose sum is σ = 2904965570. Its totient is φ = 1340753328.
The previous prime is 2011129987. The next prime is 2011130029. The reversal of 2011130001 is 1000311102.
It can be written as a sum of positive squares in only one way, i.e., 1973491776 + 37638225 = 44424^2 + 6135^2 .
It is not a de Polignac number, because 2011130001 - 213 = 2011121809 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 223458889 = 2011130001 / (2 + 0 + 1 + 1 + 1 + 3 + 0 + 0 + 0 + 1).
It is a Duffinian number.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (2011130501) 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 5 ways as a sum of consecutive naturals, for example, 111729436 + ... + 111729453.
Almost surely, 22011130001 is an apocalyptic number.
It is an amenable number.
2011130001 is a deficient number, since it is larger than the sum of its proper divisors (893835569).
2011130001 is a wasteful number, since it uses less digits than its factorization.
2011130001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 223458895 (or 223458892 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 2011130001 is about 44845.6241009087. The cubic root of 2011130001 is about 1262.2538815860.
Adding to 2011130001 its reverse (1000311102), we get a palindrome (3011441103).
The spelling of 2011130001 in words is "two billion, eleven million, one hundred thirty thousand, one".
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