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11011001101100 = 2252711313909091
BaseRepresentation
bin1010000000111011001011…
…0011110010101100101100
31102222122022121011111222022
42200032302303302230230
52420401012240213400
635230214543205312
72214342605043350
oct240166263625454
942878277144868
1011011001101100
11356581507a000
12129a009ba6838
1361b443645930
142a0d14651460
1514164c3b4b85
hexa03b2cf2b2c

11011001101100 has 288 divisors, whose sum is σ = 32346453361152. Its totient is φ = 3167996832000.

The previous prime is 11011001101099. The next prime is 11011001101151. The reversal of 11011001101100 is 110110011011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11657555 + ... + 12566645.

Almost surely, 211011001101100 is an apocalyptic number.

11011001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16173226680576).

11011001101100 is an abundant number, since it is smaller than the sum of its proper divisors (21335452260052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11011001101100 is a wasteful number, since it uses less digits than its factorization.

11011001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909158 (or 909129 counting only the distinct ones).

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

Adding to 11011001101100 its reverse (110110011011), we get a palindrome (11121111112111).

11011001101100 divided by its reverse (110110011011) gives a square (100 = 102).

The spelling of 11011001101100 in words is "eleven trillion, eleven billion, one million, one hundred one thousand, one hundred".