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111242220 = 223517191571
BaseRepresentation
bin1101010000101…
…10101111101100
321202022200122020
412220112233230
5211434222340
615012150140
72520354225
oct650265754
9252280566
10111242220
115787aa21
1231308350
131a07b8cb
1410aba24c
159b759d0
hex6a16bec

111242220 has 96 divisors (see below), whose sum is σ = 332107776. Its totient is φ = 27724800.

The previous prime is 111242213. The next prime is 111242233. The reversal of 111242220 is 22242111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111242220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194535 + ... + 195105.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2111242220 is an apocalyptic number.

111242220 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 111242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888).

111242220 is an abundant number, since it is smaller than the sum of its proper divisors (220865556).

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

111242220 is a wasteful number, since it uses less digits than its factorization.

111242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 111242220 is about 10547.1427410460. The cubic root of 111242220 is about 480.9388741817.

Adding to 111242220 its reverse (22242111), we get a palindrome (133484331).

The spelling of 111242220 in words is "one hundred eleven million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 191 204 255 340 382 510 571 573 764 955 1020 1142 1146 1713 1910 2284 2292 2855 2865 3247 3426 3820 5710 5730 6494 6852 8565 9707 9741 11420 11460 12988 16235 17130 19414 19482 29121 32470 34260 38828 38964 48535 48705 58242 64940 97070 97410 109061 116484 145605 194140 194820 218122 291210 327183 436244 545305 582420 654366 1090610 1308732 1635915 1854037 2181220 3271830 3708074 5562111 6543660 7416148 9270185 11124222 18540370 22248444 27810555 37080740 55621110 111242220