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11011011011 = 7112131019901
BaseRepresentation
bin10100100000100111…
…01011000111000011
31001102101011022111122
422100103223013003
5140022304323021
65020340102455
7536602022630
oct122023530703
931371138448
1011011011011
114740479600
122173694a2b
1310662b1440
14766539187
15446a16bab
hex2904eb1c3

11011011011 has 48 divisors (see below), whose sum is σ = 15045019584. Its totient is φ = 7840800000.

The previous prime is 11011011001. The next prime is 11011011017.

11011011011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11011011011 - 210 = 11011009987 is a prime.

11011011011 is a strobogrammatic number because it is the same when read upside-down.

11011011011 is a modest number, since divided by 11011011 gives 11 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11011011011.

It is not an unprimeable number, because it can be changed into a prime (11011011017) 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, 1107161 + ... + 1117061.

It is an arithmetic number, because the mean of its divisors is an integer number (313437908).

Almost surely, 211011011011 is an apocalyptic number.

11011011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011011011 is a deficient number, since it is larger than the sum of its proper divisors (4034008573).

11011011011 is a wasteful number, since it uses less digits than its factorization.

11011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 110110 and 11011, that added together give a palindrome (121121).

The spelling of 11011011011 in words is "eleven billion, eleven million, eleven thousand, eleven".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 7777 9191 9901 11011 12221 14443 69307 85547 101101 108911 128713 158873 762377 900991 1000001 1112111 1198021 1415843 7000007 8386147 9910901 11000011 13000013 15574273 77000077 91000091 109019911 121000121 143000143 847000847 1001001001 1573001573 11011011011