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11066066011 = 7112134721383
BaseRepresentation
bin10100100111001011…
…01100010001011011
31001120012202101202201
422103211230101123
5140130403103021
65030024111031
7541141003060
oct122345542133
931505671681
1011066066011
114769562200
12218a005477
131074819670
1476d98ac67
1544b78e591
hex29396c45b

11066066011 has 48 divisors (see below), whose sum is σ = 15289731072. Its totient is φ = 7789890240.

The previous prime is 11066065999. The next prime is 11066066057.

11066066011 is nontrivially palindromic in base 10.

11066066011 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 11066066011 - 215 = 11066033243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11066066611) 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 47 ways as a sum of consecutive naturals, for example, 506826 + ... + 528208.

It is an arithmetic number, because the mean of its divisors is an integer number (318536064).

Almost surely, 211066066011 is an apocalyptic number.

11066066011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11066066011 is a deficient number, since it is larger than the sum of its proper divisors (4223665061).

11066066011 is a wasteful number, since it uses less digits than its factorization.

11066066011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21472 (or 21461 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

It can be divided in two parts, 110660 and 66011, that added together give a palindrome (176671).

The spelling of 11066066011 in words is "eleven billion, sixty-six million, sixty-six thousand, eleven".

Divisors: 1 7 11 13 47 77 91 121 143 329 517 611 847 1001 1573 3619 4277 5687 6721 11011 21383 39809 47047 73931 149681 235213 277979 517517 1005001 1646491 1945853 2587343 3057769 7035007 11055011 13065013 18111401 21404383 33635459 77385077 91455091 121605121 143715143 235448213 851235847 1006006001 1580866573 11066066011