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112023320024 = 23711225180789
BaseRepresentation
bin110100001010100011…
…1000011010111011000
3101201011002122021122202
41220111013003113120
53313410432220044
6123243544305332
711044020336440
oct1502507032730
9351132567582
10112023320024
1143566275420
1219864472248
13a74374a8a5
1455c9bcd120
152da9a64c4e
hex1a151c35d8

112023320024 has 64 divisors (see below), whose sum is σ = 261992275200. Its totient is φ = 43625520000.

The previous prime is 112023319951. The next prime is 112023320051. The reversal of 112023320024 is 420023320211.

It is a junction number, because it is equal to n+sod(n) for n = 112023319978 and 112023320005.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1346222 + ... + 1427010.

It is an arithmetic number, because the mean of its divisors is an integer number (4093629300).

Almost surely, 2112023320024 is an apocalyptic number.

112023320024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112023320024 is an abundant number, since it is smaller than the sum of its proper divisors (149968955176).

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

112023320024 is a wasteful number, since it uses less digits than its factorization.

112023320024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83064 (or 83060 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 112023320024 its reverse (420023320211), we get a palindrome (532046640235).

The spelling of 112023320024 in words is "one hundred twelve billion, twenty-three million, three hundred twenty thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 2251 4502 9004 15757 18008 24761 31514 49522 63028 80789 99044 126056 161578 173327 198088 323156 346654 565523 646312 693308 888679 1131046 1386616 1777358 2262092 3554716 4524184 6220753 7109432 12441506 24883012 49766024 181856039 363712078 727424156 1272992273 1454848312 2000416429 2545984546 4000832858 5091969092 8001665716 10183938184 14002915003 16003331432 28005830006 56011660012 112023320024