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111012220 = 225111792819
BaseRepresentation
bin1101001110111…
…10100101111100
321201220000010201
412213132211330
5211404342340
615003213244
72515405534
oct647364574
9251800121
10111012220
1157733140
1231217224
1319ccb007
1410a5a4c4
159b2c79a
hex69de97c

111012220 has 48 divisors (see below), whose sum is σ = 255830400. Its totient is φ = 40128320.

The previous prime is 111012199. The next prime is 111012221. The reversal of 111012220 is 22210111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111012197 and 111012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012221) by changing a digit.

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, 37971 + ... + 40789.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2111012220 is an apocalyptic number.

111012220 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 111012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127915200).

111012220 is an abundant number, since it is smaller than the sum of its proper divisors (144818180).

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

111012220 is a wasteful number, since it uses less digits than its factorization.

111012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 111012220 is about 10536.2336724277. The cubic root of 111012220 is about 480.6071887725.

Adding to 111012220 its reverse (22210111), we get a palindrome (133222331).

The spelling of 111012220 in words is "one hundred eleven million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 2819 3580 3938 5638 7876 9845 11276 14095 19690 28190 31009 39380 56380 62018 124036 155045 310090 504601 620180 1009202 2018404 2523005 5046010 5550611 10092020 11101222 22202444 27753055 55506110 111012220