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111381552 = 243217173263
BaseRepresentation
bin1101010001110…
…00110000110000
321202120202202200
412220320300300
5212003202202
615015143200
72521504362
oct650706060
9252522680
10111381552
1157965677
1231374b00
131a0ca159
1410b14d32
159ba1e1c
hex6a38c30

111381552 has 120 divisors (see below), whose sum is σ = 333219744. Its totient is φ = 34609152.

The previous prime is 111381551. The next prime is 111381563. The reversal of 111381552 is 255183111.

It is not an unprimeable number, because it can be changed into a prime (111381551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423373 + ... + 423635.

Almost surely, 2111381552 is an apocalyptic number.

111381552 is a gapful number since it is divisible by the number (12) 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 111381552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166609872).

111381552 is an abundant number, since it is smaller than the sum of its proper divisors (221838192).

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

111381552 is a wasteful number, since it uses less digits than its factorization.

111381552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 111381552 is about 10553.7458752805. The cubic root of 111381552 is about 481.1395840012.

The spelling of 111381552 in words is "one hundred eleven million, three hundred eighty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 173 204 263 272 306 346 408 519 526 612 692 789 816 1038 1052 1224 1384 1557 1578 2076 2104 2367 2448 2768 2941 3114 3156 4152 4208 4471 4734 5882 6228 6312 8304 8823 8942 9468 11764 12456 12624 13413 17646 17884 18936 23528 24912 26469 26826 35292 35768 37872 40239 45499 47056 52938 53652 70584 71536 80478 90998 105876 107304 136497 141168 160956 181996 211752 214608 272994 321912 363992 409491 423504 545988 643824 727984 773483 818982 1091976 1546966 1637964 2183952 2320449 3093932 3275928 4640898 6187864 6551856 6961347 9281796 12375728 13922694 18563592 27845388 37127184 55690776 111381552