Base | Representation |
---|---|
bin | 11101001000100000011… |
… | …11111101110111101001 |
3 | 10112200202102002201222011 |
4 | 32210100033331313221 |
5 | 112400022000013001 |
6 | 2043504131555521 |
7 | 132214466422600 |
oct | 16442017756751 |
9 | 3480672081864 |
10 | 1001000001001 |
11 | 35658144a500 |
12 | 142000a5bba1 |
13 | 73517506300 |
14 | 3663d194a37 |
15 | 1b089447d51 |
hex | e9103fdde9 |
1001000001001 has 108 divisors (see below), whose sum is σ = 1458908866800. Its totient is φ = 682092290880.
The previous prime is 1001000000993. The next prime is 1001000001007.
1001000001001 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 1001000001001 - 23 = 1001000000993 is a prime.
1001000001001 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 (1001000001007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19011730 + ... + 19064308.
Almost surely, 21001000001001 is an apocalyptic number.
1001000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
1001000001001 is a deficient number, since it is larger than the sum of its proper divisors (457908865799).
1001000001001 is a wasteful number, since it uses less digits than its factorization.
1001000001001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52660 (or 52629 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 4.
It can be divided in two parts, 100100000 and 1001, that added together give a palindrome (100101001).
The spelling of 1001000001001 in words is "one trillion, one billion, one thousand, one".
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