Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
11011010011011 = 338318012728171
BaseRepresentation
bin1010000000111011001101…
…0101110001111110000011
31102222122100012221012002000
42200032303111301332003
52420401022030323021
635230215502155043
72214343043552643
oct240166325617603
942878305835060
1011011010011011
11356581a10516a
12129a010b82a83
1361b44544527a
142a0d158d0523
1514164d074b26
hexa03b3571f83

11011010011011 has 32 divisors (see below), whose sum is σ = 16518317571840. Its totient is φ = 7248202056000.

The previous prime is 11011010010971. The next prime is 11011010011087. The reversal of 11011010011011 is 11011001011011.

11011010011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11011010011011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011010010984 and 11011010011002.

It is not an unprimeable number, because it can be changed into a prime (11011015011011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2671956 + ... + 5400126.

It is an arithmetic number, because the mean of its divisors is an integer number (516197424120).

Almost surely, 211011010011011 is an apocalyptic number.

11011010011011 is a deficient number, since it is larger than the sum of its proper divisors (5507307560829).

11011010011011 is a wasteful number, since it uses less digits than its factorization.

11011010011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730064 (or 2730058 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11011010011011 its reverse (11011001011011), we get a palindrome (22022011022022).

Subtracting from 11011010011011 its reverse (11011001011011), we obtain a square (9000000 = 30002).

The spelling of 11011010011011 in words is "eleven trillion, eleven billion, ten million, eleven thousand, eleven".

Divisors: 1 3 9 27 83 249 747 1801 2241 5403 16209 48627 149483 448449 1345347 2728171 4036041 8184513 24553539 73660617 226438193 679314579 2037943737 4913435971 6113831211 14740307913 44220923739 132662771217 407815185593 1223445556779 3670336670337 11011010011011