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111324020 = 22541349389
BaseRepresentation
bin1101010001010…
…10101101110100
321202110211211212
412220222231310
5211444332040
615014020552
72521144553
oct650525564
9252424755
10111324020
1157926425
1231347758
131a0a9c02
1410adbd9a
159b8ed65
hex6a2ab74

111324020 has 48 divisors (see below), whose sum is σ = 240786000. Its totient is φ = 43207680.

The previous prime is 111324019. The next prime is 111324029. The reversal of 111324020 is 20423111.

It can be written as a sum of positive squares in 8 ways, for example, as 14577124 + 96746896 = 3818^2 + 9836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111323986 and 111324004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111324029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285986 + ... + 286374.

It is an arithmetic number, because the mean of its divisors is an integer number (5016375).

Almost surely, 2111324020 is an apocalyptic number.

111324020 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 111324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120393000).

111324020 is an abundant number, since it is smaller than the sum of its proper divisors (129461980).

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

111324020 is a wasteful number, since it uses less digits than its factorization.

111324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 111324020 is about 10551.0198559191. The cubic root of 111324020 is about 481.0567285988.

Adding to 111324020 its reverse (20423111), we get a palindrome (131747131).

Subtracting from 111324020 its reverse (20423111), we obtain a palindrome (90900909).

The spelling of 111324020 in words is "one hundred eleven million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 349 389 410 698 778 820 1396 1556 1745 1945 3490 3890 6980 7780 14309 15949 28618 31898 57236 63796 71545 79745 135761 143090 159490 271522 286180 318980 543044 678805 1357610 2715220 5566201 11132402 22264804 27831005 55662010 111324020