Base | Representation |
---|---|
bin | 10000000000011101101… |
… | …101100001010100101011 |
3 | 10220011022121001220100020 |
4 | 100000131231201110223 |
5 | 121010310041200021 |
6 | 2201200534011523 |
7 | 142321163401434 |
oct | 20003555412453 |
9 | 3804277056306 |
10 | 1100010100011 |
11 | 39456a02a309 |
12 | 1592331a6ba3 |
13 | 7c965c03504 |
14 | 3b35297648b |
15 | 1d9317e87c6 |
hex | 1001db6152b |
1100010100011 has 128 divisors (see below), whose sum is σ = 1627227463680. Its totient is φ = 659259482112.
The previous prime is 1100010100003. The next prime is 1100010100043.
1100010100011 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 1100010100011 - 23 = 1100010100003 is a prime.
1100010100011 is a strobogrammatic number because it is the same when read upside-down.
It is not an unprimeable number, because it can be changed into a prime (1100010100051) 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, 1513080930 + ... + 1513081656.
It is an arithmetic number, because the mean of its divisors is an integer number (12712714560).
Almost surely, 21100010100011 is an apocalyptic number.
1100010100011 is a deficient number, since it is larger than the sum of its proper divisors (527217363669).
1100010100011 is a wasteful number, since it uses less digits than its factorization.
1100010100011 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1053.
The product of its (nonzero) digits is 1, while the sum is 6.
It can be divided in two parts, 1100010 and 100011, that added together give a palindrome (1200021).
The spelling of 1100010100011 in words is "one trillion, one hundred billion, ten million, one hundred thousand, eleven".
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