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112030033032 = 233219629913001
BaseRepresentation
bin110100001010110000…
…0101010010010001000
3101201011120021100011200
41220111200222102020
53313414142024112
6123244344224200
711044131366051
oct1502540522210
9351146240150
10112030033032
114356a03aa65
121986676b060
13a744c5b298
1455caa59728
152daa43dcdc
hex1a1582a488

112030033032 has 96 divisors (see below), whose sum is σ = 319459140000. Its totient is φ = 35369568000.

The previous prime is 112030033009. The next prime is 112030033033. The reversal of 112030033032 is 230330030211.

112030033032 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 300 + 330 + 32 = 666.

It is a super-2 number, since 2×1120300330322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112030032996 and 112030033014.

It is not an unprimeable number, because it can be changed into a prime (112030033033) 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 23 ways as a sum of consecutive naturals, for example, 8610532 + ... + 8623532.

It is an arithmetic number, because the mean of its divisors is an integer number (3327699375).

Almost surely, 2112030033032 is an apocalyptic number.

112030033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112030033032 is an abundant number, since it is smaller than the sum of its proper divisors (207429106968).

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

112030033032 is a wasteful number, since it uses less digits than its factorization.

112030033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19331 (or 19324 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 112030033032 its reverse (230330030211), we get a palindrome (342360063243).

The spelling of 112030033032 in words is "one hundred twelve billion, thirty million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 6299 12598 13001 18897 25196 26002 37794 39003 50392 52004 56691 75588 78006 104008 113382 117009 119681 151176 156012 226764 234018 239362 247019 312024 359043 453528 468036 478724 494038 718086 741057 936072 957448 988076 1077129 1436172 1482114 1976152 2154258 2223171 2872344 2964228 4308516 4446342 5928456 8617032 8892684 17785368 81893299 163786598 245679897 327573196 491359794 655146392 737039691 982719588 1474079382 1555972681 1965439176 2948158764 3111945362 4667918043 5896317528 6223890724 9335836086 12447781448 14003754129 18671672172 28007508258 37343344344 56015016516 112030033032