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110011110021120 = 21135711389119557
BaseRepresentation
bin11001000000110111110101…
…001000100101100000000000
3112102111221220102000022221210
4121000313311020211200000
5103404410223131133440
61025550223430050120
732113016601242640
oct3100676510454000
9472457812008853
10110011110021120
11320644a4694530
1210408a821a9940
134950006c3a959
141d247cd690520
15cab994c85a80
hex640df5225800

110011110021120 has 768 divisors, whose sum is σ = 439925999385600. Its totient is φ = 22800496066560.

The previous prime is 110011110021067. The next prime is 110011110021151. The reversal of 110011110021120 is 21120011110011.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110011110021096 and 110011110021105.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 920096382 + ... + 920215938.

It is an arithmetic number, because the mean of its divisors is an integer number (572820311700).

Almost surely, 2110011110021120 is an apocalyptic number.

110011110021120 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 110011110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219962999692800).

110011110021120 is an abundant number, since it is smaller than the sum of its proper divisors (329914889364480).

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

110011110021120 is a wasteful number, since it uses less digits than its factorization.

110011110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119994 (or 119974 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110011110021120 its reverse (21120011110011), we get a palindrome (131131121131131).

The spelling of 110011110021120 in words is "one hundred ten trillion, eleven billion, one hundred ten million, twenty-one thousand, one hundred twenty".