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111112020 = 22335205763
BaseRepresentation
bin1101001111101…
…10111101010100
321202002002001000
412213312331110
5211421041040
615005303300
72516302515
oct647667524
9252062030
10111112020
11577a1118
1231264b30
131a034576
1410a84a0c
159b4c130
hex69f6f54

111112020 has 48 divisors (see below), whose sum is σ = 345683520. Its totient is φ = 29629728.

The previous prime is 111112007. The next prime is 111112037. The reversal of 111112020 is 20211111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111111993 and 111112011.

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 15 ways as a sum of consecutive naturals, for example, 102342 + ... + 103421.

It is an arithmetic number, because the mean of its divisors is an integer number (7201740).

Almost surely, 2111112020 is an apocalyptic number.

111112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111112020 is an abundant number, since it is smaller than the sum of its proper divisors (234571500).

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

111112020 is a wasteful number, since it uses less digits than its factorization.

111112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205781 (or 205773 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111112020 is about 10540.9686461919. The cubic root of 111112020 is about 480.7511676102.

Adding to 111112020 its reverse (20211111), we get a palindrome (131323131).

Subtracting from 111112020 its reverse (20211111), we obtain a palindrome (90900909).

It can be divided in two parts, 11111 and 2020, that added together give a palindrome (13131).

The spelling of 111112020 in words is "one hundred eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 205763 411526 617289 823052 1028815 1234578 1851867 2057630 2469156 3086445 3703734 4115260 5555601 6172890 7407468 9259335 11111202 12345780 18518670 22222404 27778005 37037340 55556010 111112020