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112241023400 = 235211187327239
BaseRepresentation
bin110100010001000010…
…1100001100110101000
3101201201021021202112202
41220202011201212220
53314332200222100
6123321322355332
711052302646242
oct1504205414650
9351637252482
10112241023400
114366814a170
121990535bb48
13a779892b5c
14560aa9d092
152dbdc197d5
hex1a221619a8

112241023400 has 96 divisors (see below), whose sum is σ = 284846500800. Its totient is φ = 40791628800.

The previous prime is 112241023387. The next prime is 112241023507. The reversal of 112241023400 is 4320142211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4106981 + ... + 4134219.

It is an arithmetic number, because the mean of its divisors is an integer number (2967151050).

Almost surely, 2112241023400 is an apocalyptic number.

112241023400 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 112241023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142423250400).

112241023400 is an abundant number, since it is smaller than the sum of its proper divisors (172605477400).

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

112241023400 is a wasteful number, since it uses less digits than its factorization.

112241023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29139 (or 29130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 112241023400 its reverse (4320142211), we get a palindrome (116561165611).

The spelling of 112241023400 in words is "one hundred twelve billion, two hundred forty-one million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1873 2200 3746 7492 9365 14984 18730 20603 27239 37460 41206 46825 54478 74920 82412 93650 103015 108956 136195 164824 187300 206030 217912 272390 299629 374600 412060 515075 544780 599258 680975 824120 1030150 1089560 1198516 1361950 1498145 2060300 2397032 2723900 2996290 4120600 5447800 5992580 7490725 11985160 14981450 29962900 51018647 59925800 102037294 204074588 255093235 408149176 510186470 561205117 1020372940 1122410234 1275466175 2040745880 2244820468 2550932350 2806025585 4489640936 5101864700 5612051170 10203729400 11224102340 14030127925 22448204680 28060255850 56120511700 112241023400