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33230120112 = 24327157209977
BaseRepresentation
bin11110111100101010…
…110110010010110000
310011202212100000011100
4132330222312102300
51021023402320422
623133220444400
72254321234440
oct367452662260
9104685300140
1033230120112
111310259a092
126534849700
13319764b487
141873434120
15ce74c67ac
hex7bcab64b0

33230120112 has 120 divisors (see below), whose sum is σ = 106961113376. Its totient is φ = 9433801728.

The previous prime is 33230120107. The next prime is 33230120117. The reversal of 33230120112 is 21102103233.

33230120112 is a `hidden beast` number, since 332 + 301 + 20 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (33230120107) and next prime (33230120117).

It is a super-2 number, since 2×332301201122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33230120117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53268 + ... + 263244.

Almost surely, 233230120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33230120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53480556688).

33230120112 is an abundant number, since it is smaller than the sum of its proper divisors (73730993264).

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

33230120112 is a wasteful number, since it uses less digits than its factorization.

33230120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210155 (or 210146 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33230120112 its reverse (21102103233), we get a palindrome (54332223345).

The spelling of 33230120112 in words is "thirty-three billion, two hundred thirty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 157 168 252 314 336 471 504 628 942 1008 1099 1256 1413 1884 2198 2512 2826 3297 3768 4396 5652 6594 7536 8792 9891 11304 13188 17584 19782 22608 26376 39564 52752 79128 158256 209977 419954 629931 839908 1259862 1469839 1679816 1889793 2519724 2939678 3359632 3779586 4409517 5039448 5879356 7559172 8819034 10078896 11758712 13228551 15118344 17638068 23517424 26457102 30236688 32966389 35276136 52914204 65932778 70552272 98899167 105828408 131865556 197798334 211656816 230764723 263731112 296697501 395596668 461529446 527462224 593395002 692294169 791193336 923058892 1186790004 1384588338 1582386672 1846117784 2076882507 2373580008 2769176676 3692235568 4153765014 4747160016 5538353352 8307530028 11076706704 16615060056 33230120112