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112023112300 = 225211235098699
BaseRepresentation
bin110100001010100011…
…0010000101001101100
3101201011002020201201021
41220111012100221230
53313410404043200
6123243540023524
711044015513021
oct1502506205154
9351132221637
10112023112300
1143566143350
1219864391ba4
13a7436a7188
1455c9b77548
152da9a2341a
hex1a15190a6c

112023112300 has 144 divisors (see below), whose sum is σ = 277294752000. Its totient is φ = 38883539200.

The previous prime is 112023112283. The next prime is 112023112303. The reversal of 112023112300 is 3211320211.

It is a super-2 number, since 2×1120231123002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112023112303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12873351 + ... + 12882049.

It is an arithmetic number, because the mean of its divisors is an integer number (1925658000).

Almost surely, 2112023112300 is an apocalyptic number.

112023112300 is a gapful number since it is divisible by the number (10) 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 112023112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138647376000).

112023112300 is an abundant number, since it is smaller than the sum of its proper divisors (165271639700).

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

112023112300 is a wasteful number, since it uses less digits than its factorization.

112023112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112023112300 its reverse (3211320211), we get a palindrome (115234432511).

The spelling of 112023112300 in words is "one hundred twelve billion, twenty-three million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 509 550 575 1012 1018 1100 1150 1265 2036 2300 2530 2545 5060 5090 5599 6325 8699 10180 11198 11707 12650 12725 17398 22396 23414 25300 25450 27995 34796 43495 46828 50900 55990 58535 86990 95689 111980 117070 128777 139975 173980 191378 200077 217475 234140 257554 279950 292675 382756 400154 434950 478445 515108 559900 585350 643885 800308 869900 956890 1000385 1170700 1287770 1913780 2000770 2200847 2392225 2575540 3219425 4001540 4401694 4427791 4784450 5001925 6438850 8803388 8855582 9568900 10003850 11004235 12877700 17711164 20007700 22008470 22138955 44016940 44277910 48705701 55021175 88555820 97411402 101839193 110042350 110694775 194822804 203678386 220084700 221389550 243528505 407356772 442779100 487057010 509195965 974114020 1018391930 1120231123 1217642525 2036783860 2240462246 2435285050 2545979825 4480924492 4870570100 5091959650 5601155615 10183919300 11202311230 22404622460 28005778075 56011556150 112023112300