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112322204400 = 24352713371691
BaseRepresentation
bin110100010011011101…
…1001101001011110000
3101201220221001011221110
41220212323031023300
53320013441020100
6123333342353320
711054306661450
oct1504673151360
9351827034843
10112322204400
11436a9a576aa
121992858b840
13a790647953
145617791d60
152dc5e03250
hex1a26ecd2f0

112322204400 has 120 divisors (see below), whose sum is σ = 411206272384. Its totient is φ = 25673644800.

The previous prime is 112322204383. The next prime is 112322204429. The reversal of 112322204400 is 4402223211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6677446 + ... + 6694245.

Almost surely, 2112322204400 is an apocalyptic number.

112322204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112322204400 is an abundant number, since it is smaller than the sum of its proper divisors (298884067984).

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

112322204400 is a wasteful number, since it uses less digits than its factorization.

112322204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371719 (or 13371708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 112322204400 its reverse (4402223211), we get a palindrome (116724427611).

The spelling of 112322204400 in words is "one hundred twelve billion, three hundred twenty-two million, two hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 13371691 26743382 40115073 53486764 66858455 80230146 93601837 106973528 133716910 160460292 187203674 200575365 213947056 267433820 280805511 320920584 334292275 374407348 401150730 468009185 534867640 561611022 641841168 668584550 748814696 802301460 936018370 1002876825 1069735280 1123222044 1337169100 1404027555 1497629392 1604602920 1872036740 2005753650 2246444088 2340045925 2674338200 2808055110 3209205840 3744073480 4011507300 4492888176 4680091850 5348676400 5616110220 7020137775 7488146960 8023014600 9360183700 11232220440 14040275550 16046029200 18720367400 22464440880 28080551100 37440734800 56161102200 112322204400