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1110011121120 = 2535111012081479
BaseRepresentation
bin10000001001110001110…
…100011000110111100000
310221010010120202102011110
4100021301310120313200
5121141300321333440
62205533154343320
7143124052565406
oct20116164306740
93833116672143
101110011121120
11398831381510
1215b16458ab40
138089ab8a695
143ba20cc3476
151dd19809080
hex10271d18de0

1110011121120 has 192 divisors, whose sum is σ = 3852170058240. Its totient is φ = 266429184000.

The previous prime is 1110011121029. The next prime is 1110011121133. The reversal of 1110011121120 is 211211100111.

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 = 1110011121096 and 1110011121105.

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 31 ways as a sum of consecutive naturals, for example, 507460 + ... + 1574019.

It is an arithmetic number, because the mean of its divisors is an integer number (20063385720).

Almost surely, 21110011121120 is an apocalyptic number.

1110011121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110011121120 is an abundant number, since it is smaller than the sum of its proper divisors (2742158937120).

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

1110011121120 is a wasteful number, since it uses less digits than its factorization.

1110011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081609 (or 2081601 counting only the distinct ones).

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

Adding to 1110011121120 its reverse (211211100111), we get a palindrome (1321222221231).

The spelling of 1110011121120 in words is "one trillion, one hundred ten billion, eleven million, one hundred twenty-one thousand, one hundred twenty".