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111042120 = 23357163811
BaseRepresentation
bin1101001111001…
…01111001001000
321201221112011010
412213211321020
5211411321440
615004003520
72515561650
oct647457110
9251845133
10111042120
1157753652
12312305a0
131a00b7c7
1410a67360
159b36580
hex69e5e48

111042120 has 128 divisors (see below), whose sum is σ = 383523840. Its totient is φ = 25194240.

The previous prime is 111042097. The next prime is 111042157. The reversal of 111042120 is 21240111.

It is a happy number.

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 = 111042096 and 111042105.

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, 136515 + ... + 137325.

It is an arithmetic number, because the mean of its divisors is an integer number (2996280).

Almost surely, 2111042120 is an apocalyptic number.

111042120 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 111042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191761920).

111042120 is an abundant number, since it is smaller than the sum of its proper divisors (272481720).

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

111042120 is a wasteful number, since it uses less digits than its factorization.

111042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 111042120 is about 10537.6524899998. The cubic root of 111042120 is about 480.6503337673.

Adding to 111042120 its reverse (21240111), we get a palindrome (132282231).

The spelling of 111042120 in words is "one hundred eleven million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 163 168 210 280 326 420 489 652 811 815 840 978 1141 1304 1622 1630 1956 2282 2433 2445 3244 3260 3423 3912 4055 4564 4866 4890 5677 5705 6488 6520 6846 8110 9128 9732 9780 11354 11410 12165 13692 16220 17031 17115 19464 19560 22708 22820 24330 27384 28385 32440 34062 34230 45416 45640 48660 56770 68124 68460 85155 97320 113540 132193 136248 136920 170310 227080 264386 340620 396579 528772 660965 681240 793158 925351 1057544 1321930 1586316 1850702 1982895 2643860 2776053 3172632 3701404 3965790 4626755 5287720 5552106 7402808 7931580 9253510 11104212 13880265 15863160 18507020 22208424 27760530 37014040 55521060 111042120