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112535325 = 3452717467
BaseRepresentation
bin1101011010100…
…10011100011101
321211202101110000
412231102130131
5212302112300
615100004513
72534351220
oct655223435
9254671400
10112535325
1158583501
1231830739
131a412366
1410d355b7
159d2dc00
hex6b5271d

112535325 has 120 divisors (see below), whose sum is σ = 252787392. Its totient is φ = 48314880.

The previous prime is 112535323. The next prime is 112535327. The reversal of 112535325 is 523535211.

It is a happy number.

112535325 is a `hidden beast` number, since 1 + 125 + 3 + 532 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (112535323) and next prime (112535327).

It is not a de Polignac number, because 112535325 - 21 = 112535323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112535321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 240742 + ... + 241208.

Almost surely, 2112535325 is an apocalyptic number.

112535325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112535325 is an abundant number, since it is smaller than the sum of its proper divisors (140252067).

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

112535325 is a wasteful number, since it uses less digits than its factorization.

112535325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 112535325 is about 10608.2668235674. The cubic root of 112535325 is about 482.7952142930.

The spelling of 112535325 in words is "one hundred twelve million, five hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 81 85 105 119 135 153 175 189 225 255 315 357 405 425 459 467 525 567 595 675 765 945 1071 1275 1377 1401 1575 1785 2025 2295 2335 2835 2975 3213 3269 3825 4203 4725 5355 6885 7005 7939 8925 9639 9807 11475 11675 12609 14175 16065 16345 21015 23817 26775 29421 34425 35025 37827 39695 48195 49035 55573 63045 71451 80325 81725 88263 105075 119085 147105 166719 189135 198475 214353 240975 245175 264789 277865 315225 357255 441315 500157 595425 643059 735525 833595 945675 1071765 1323945 1389325 1500471 1786275 2206575 2500785 3215295 4167975 4501413 5358825 6619725 7502355 12503925 16076475 22507065 37511775 112535325