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112500330124 = 227131915033217
BaseRepresentation
bin110100011000110001…
…0101100111010001100
3101202101100012220111111
41220301202230322030
53320400041030444
6123403144301404
711061602012440
oct1506142547214
9352340186444
10112500330124
114379055a146
1219978171864
13a7bb5136a0
1456332bc820
152dd688b234
hex1a318ace8c

112500330124 has 96 divisors (see below), whose sum is σ = 244137148416. Its totient is φ = 44170859520.

The previous prime is 112500330119. The next prime is 112500330161. The reversal of 112500330124 is 421033005211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112500330095 and 112500330104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34968964 + ... + 34972180.

It is an arithmetic number, because the mean of its divisors is an integer number (2543095296).

Almost surely, 2112500330124 is an apocalyptic number.

112500330124 is a gapful number since it is divisible by the number (14) 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 112500330124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122068574208).

112500330124 is an abundant number, since it is smaller than the sum of its proper divisors (131636818292).

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

112500330124 is a wasteful number, since it uses less digits than its factorization.

112500330124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 112500330124 its reverse (421033005211), we get a palindrome (533533335335).

The spelling of 112500330124 in words is "one hundred twelve billion, five hundred million, three hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 191 364 382 503 764 1006 1337 2012 2483 2674 3217 3521 4966 5348 6434 6539 7042 9932 12868 13078 14084 17381 22519 26156 34762 41821 45038 45773 69524 83642 90076 91546 96073 167284 183092 192146 292747 384292 585494 614447 672511 1170988 1228894 1248949 1345022 1618151 2457788 2497898 2690044 3236302 4301129 4995796 6472604 7987811 8602258 8742643 11327057 15975622 17204516 17485286 21035963 22654114 31951244 34970572 42071926 45308228 55914677 84143852 111829354 147251741 223658708 294503482 309066841 589006964 618133682 1236267364 2163467887 4017868933 4326935774 8035737866 8653871548 16071475732 28125082531 56250165062 112500330124