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111411330 = 23529791621
BaseRepresentation
bin1101010010000…
…00000010000010
321202122021121120
412221000002002
5212010130310
615015533110
72521660242
oct651000202
9252567546
10111411330
1157985a88
123138a196
131a10a884
1410b21b22
159baab70
hex6a40082

111411330 has 64 divisors (see below), whose sum is σ = 280281600. Its totient is φ = 28304640.

The previous prime is 111411317. The next prime is 111411341. The reversal of 111411330 is 33114111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67920 + ... + 69540.

It is an arithmetic number, because the mean of its divisors is an integer number (4379400).

Almost surely, 2111411330 is an apocalyptic number.

111411330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111411330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140140800).

111411330 is an abundant number, since it is smaller than the sum of its proper divisors (168870270).

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

111411330 is a wasteful number, since it uses less digits than its factorization.

111411330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 111411330 is about 10555.1565597105. The cubic root of 111411330 is about 481.1824579411.

Adding to 111411330 its reverse (33114111), we get a palindrome (144525441).

The spelling of 111411330 in words is "one hundred eleven million, four hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 79 87 145 158 174 237 290 395 435 474 790 870 1185 1621 2291 2370 3242 4582 4863 6873 8105 9726 11455 13746 16210 22910 24315 34365 47009 48630 68730 94018 128059 141027 235045 256118 282054 384177 470090 640295 705135 768354 1280590 1410270 1920885 3713711 3841770 7427422 11141133 18568555 22282266 37137110 55705665 111411330