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111328308 = 2232713171999
BaseRepresentation
bin1101010001010…
…11110000110100
321202111001201200
412220223300310
5212000001213
615014052500
72521163220
oct650536064
9252431650
10111328308
1157929673
123134a130
131a0abb50
1410add780
159b91273
hex6a2bc34

111328308 has 144 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 27620352.

The previous prime is 111328307. The next prime is 111328367. The reversal of 111328308 is 803823111.

It is a super-4 number, since 4×1113283084 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111328307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54693 + ... + 56691.

It is an arithmetic number, because the mean of its divisors is an integer number (2548000).

Almost surely, 2111328308 is an apocalyptic number.

111328308 is a gapful number since it is divisible by the number (18) 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 111328308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

111328308 is an abundant number, since it is smaller than the sum of its proper divisors (255583692).

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

111328308 is a wasteful number, since it uses less digits than its factorization.

111328308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 111328308 is about 10551.2230570678. The cubic root of 111328308 is about 481.0629049980.

The spelling of 111328308 in words is "one hundred eleven million, three hundred twenty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1071 1092 1326 1428 1547 1638 1989 1999 2142 2652 3094 3276 3978 3998 4284 4641 5997 6188 7956 7996 9282 11994 13923 13993 17991 18564 23988 25987 27846 27986 33983 35982 41979 51974 55692 55972 67966 71964 77961 83958 101949 103948 125937 135932 155922 167916 181909 203898 233883 237881 251874 305847 311844 363818 407796 441779 467766 475762 503748 545727 611694 713643 727636 883558 935532 951524 1091454 1223388 1325337 1427286 1637181 1767116 2140929 2182908 2650674 2854572 3092453 3274362 3976011 4281858 5301348 6184906 6548724 7952022 8563716 9277359 12369812 15904044 18554718 27832077 37109436 55664154 111328308