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11001100110011 = 1117731375882353
BaseRepresentation
bin1010000000010110010010…
…1010100000100010111011
31102221200202120201001112122
42200011210222200202323
52420220223112010021
635221500254431455
72213542342025204
oct240054452404273
942850676631478
1011001100110011
1135615a4239940
12129810620258b
1361a526312b1b
142a06557025ab
1514126d062bab
hexa0164aa08bb

11001100110011 has 32 divisors (see below), whose sum is σ = 12975249394368. Its totient is φ = 9215998525440.

The previous prime is 11001100110001. The next prime is 11001100110017.

It can be divided in two parts, 11001100 and 110011, that multiplied together give a square (1210242012100 = 11001102).

11001100110011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-11001100110011 is a prime.

11001100110011 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

11001100110011 is a modest number, since divided by 1100110011 gives 11 as remainder.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11001100110017) 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 31 ways as a sum of consecutive naturals, for example, 1070990 + ... + 4811363.

It is an arithmetic number, because the mean of its divisors is an integer number (405476543574).

Almost surely, 211001100110011 is an apocalyptic number.

11001100110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11001100110011 is a deficient number, since it is larger than the sum of its proper divisors (1974149284357).

11001100110011 is a wasteful number, since it uses less digits than its factorization.

11001100110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882591.

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

The spelling of 11001100110011 in words is "eleven trillion, one billion, one hundred million, one hundred ten thousand, eleven".

Divisors: 1 11 17 73 137 187 803 1241 1507 2329 10001 13651 25619 110011 170017 1870187 5882353 64705883 100000001 429411769 805882361 1100000011 4723529459 7300000073 8864705971 13700000137 58829412353 80300000803 150700001507 647123535883 1000100010001 11001100110011