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112321041400 = 23523122381239
BaseRepresentation
bin110100010011011011…
…0110001001111111000
3101201220211212002121101
41220212312301033320
53320013141311100
6123333301421144
711054264046001
oct1504666611770
9351824762541
10112321041400
11436a9332947
121992810a7b4
13a79032b499
14561756c1a8
152dc5c7386a
hex1a26db13f8

112321041400 has 96 divisors (see below), whose sum is σ = 270782668800. Its totient is φ = 43283606400.

The previous prime is 112321041379. The next prime is 112321041401. The reversal of 112321041400 is 4140123211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112321041401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1341981 + ... + 1423219.

It is an arithmetic number, because the mean of its divisors is an integer number (2820652800).

Almost surely, 2112321041400 is an apocalyptic number.

112321041400 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 112321041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135391334400).

112321041400 is an abundant number, since it is smaller than the sum of its proper divisors (158461627400).

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

112321041400 is a wasteful number, since it uses less digits than its factorization.

112321041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81509 (or 81500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 112321041400 its reverse (4140123211), we get a palindrome (116461164611).

The spelling of 112321041400 in words is "one hundred twelve billion, three hundred twenty-one million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 223 248 310 446 620 775 892 1115 1240 1550 1784 2230 3100 4460 5575 6200 6913 8920 11150 13826 22300 27652 34565 44600 55304 69130 81239 138260 162478 172825 276520 324956 345650 406195 649912 691300 812390 1382600 1624780 2030975 2518409 3249560 4061950 5036818 8123900 10073636 12592045 16247800 18116297 20147272 25184090 36232594 50368180 62960225 72465188 90581485 100736360 125920450 144930376 181162970 251840900 362325940 452907425 503681800 561605207 724651880 905814850 1123210414 1811629700 2246420828 2808026035 3623259400 4492841656 5616052070 11232104140 14040130175 22464208280 28080260350 56160520700 112321041400