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11000000011 = 7112131952579
BaseRepresentation
bin10100011111010011…
…01010111000001011
31001101121102220020211
422033221222320023
5140012000000021
65015304101551
7536406312610
oct121751527013
931347386224
1011000000011
114735238900
12216ba648b7
131063c27660
14764cb0507
15445a8e3e1
hex28fa6ae0b

11000000011 has 48 divisors (see below), whose sum is σ = 15664633600. Its totient is φ = 7495519680.

The previous prime is 10999999999. The next prime is 11000000021.

It can be divided in two parts, 110000000 and 11, that added together give a palindrome (110000011).

11000000011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11000000011 - 213 = 10999991819 is a prime.

11000000011 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11000000021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182920 + ... + 235498.

Almost surely, 211000000011 is an apocalyptic number.

11000000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000000011 is a deficient number, since it is larger than the sum of its proper divisors (4664633589).

11000000011 is a wasteful number, since it uses less digits than its factorization.

11000000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52640 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The spelling of 11000000011 in words is "eleven billion, eleven", and thus it is an aban number and an uban number.

Divisors: 1 7 11 13 19 77 91 121 133 143 209 247 847 1001 1463 1573 1729 2299 2717 11011 16093 19019 29887 52579 209209 368053 578369 683527 999001 4048583 4784689 6362059 6993007 7518797 10989011 12987013 44534413 52631579 76923077 82706767 90909091 120879121 142857143 578947369 846153847 1000000001 1571428573 11000000011