Base | Representation |
---|---|
bin | 10010110101001101… |
… | …11110011000001001 |
3 | 222002120221100022020 |
4 | 21122212332120021 |
5 | 131201141213001 |
6 | 4351114315053 |
7 | 505352304060 |
oct | 113246763011 |
9 | 28076840266 |
10 | 10110101001 |
11 | 4318985580 |
12 | 1b61a28a89 |
13 | c517597b0 |
14 | 6bca231d7 |
15 | 3e28aa736 |
hex | 25a9be609 |
10110101001 has 128 divisors (see below), whose sum is σ = 19570790400. Its totient is φ = 4467778560.
The previous prime is 10110100939. The next prime is 10110101033. The reversal of 10110101001 is 10010101101.
10110101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10110101001 - 213 = 10110092809 is a prime.
It is not an unprimeable number, because it can be changed into a prime (10110101801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2108715 + ... + 2113503.
It is an arithmetic number, because the mean of its divisors is an integer number (152896800).
Almost surely, 210110101001 is an apocalyptic number.
10110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
10110101001 is a deficient number, since it is larger than the sum of its proper divisors (9460689399).
10110101001 is a wasteful number, since it uses less digits than its factorization.
10110101001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4879.
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 10110101001 its reverse (10010101101), we get a palindrome (20120202102).
It can be divided in two parts, 10110 and 101001, that added together give a palindrome (111111).
The spelling of 10110101001 in words is "ten billion, one hundred ten million, one hundred one thousand, one".
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