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11100122221320 = 233251117433834557
BaseRepresentation
bin1010000110000111001011…
…0101111000101100001000
31110022011100121021111200200
42201201302311320230020
52423331022242040240
635335154210132200
72223646243054236
oct241416265705410
943264317244620
1011100122221320
11359a598683770
1212b3340581060
136269773577b2
142a536a92d956
15143b164d7930
hexa1872d78b08

11100122221320 has 384 divisors, whose sum is σ = 42639057901440. Its totient is φ = 2473748766720.

The previous prime is 11100122221297. The next prime is 11100122221373. The reversal of 11100122221320 is 2312222100111.

11100122221320 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 122 + 221 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11100122221293 and 11100122221302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 977482 + ... + 4812038.

It is an arithmetic number, because the mean of its divisors is an integer number (111039213285).

Almost surely, 211100122221320 is an apocalyptic number.

11100122221320 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 11100122221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319528950720).

11100122221320 is an abundant number, since it is smaller than the sum of its proper divisors (31538935680120).

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

11100122221320 is a wasteful number, since it uses less digits than its factorization.

11100122221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834645 (or 3834638 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11100122221320 its reverse (2312222100111), we get a palindrome (13412344321431).

The spelling of 11100122221320 in words is "eleven trillion, one hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred twenty".