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111320220 = 2235111511117
BaseRepresentation
bin1101010001010…
…01110010011100
321202110122122010
412220221302130
5211444221340
615013551220
72521130514
oct650516234
9252418563
10111320220
1157923590
1231345510
131a0a826b
1410ada844
159b8db80
hex6a29c9c

111320220 has 96 divisors (see below), whose sum is σ = 342590976. Its totient is φ = 26784000.

The previous prime is 111320203. The next prime is 111320239. The reversal of 111320220 is 22023111.

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 = 111320196 and 111320205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99102 + ... + 100218.

It is an arithmetic number, because the mean of its divisors is an integer number (3568656).

Almost surely, 2111320220 is an apocalyptic number.

111320220 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 111320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171295488).

111320220 is an abundant number, since it is smaller than the sum of its proper divisors (231270756).

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

111320220 is a wasteful number, since it uses less digits than its factorization.

111320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 111320220 is about 10550.8397770035. The cubic root of 111320220 is about 481.0512549782.

Adding to 111320220 its reverse (22023111), we get a palindrome (133343331).

It can be divided in two parts, 11 and 1320220, that added together give a palindrome (1320231).

The spelling of 111320220 in words is "one hundred eleven million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 151 165 220 302 330 453 604 660 755 906 1117 1510 1661 1812 2234 2265 3020 3322 3351 4468 4530 4983 5585 6644 6702 8305 9060 9966 11170 12287 13404 16610 16755 19932 22340 24574 24915 33220 33510 36861 49148 49830 61435 67020 73722 99660 122870 147444 168667 184305 245740 337334 368610 506001 674668 737220 843335 1012002 1686670 1855337 2024004 2530005 3373340 3710674 5060010 5566011 7421348 9276685 10120020 11132022 18553370 22264044 27830055 37106740 55660110 111320220