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112322103200 = 2552563249383
BaseRepresentation
bin110100010011011101…
…0110100011110100000
3101201220220212001010022
41220212322310132200
53320013424300300
6123333340253012
711054306060426
oct1504672643640
9351826761108
10112322103200
11436a999866a
1219928541168
13a790610878
145617767116
152dc5dd3285
hex1a26eb47a0

112322103200 has 72 divisors (see below), whose sum is σ = 274694480928. Its totient is φ = 44848858880.

The previous prime is 112322103151. The next prime is 112322103221. The reversal of 112322103200 is 2301223211.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325709 + ... + 575091.

It is an arithmetic number, because the mean of its divisors is an integer number (3815201124).

Almost surely, 2112322103200 is an apocalyptic number.

112322103200 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 112322103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137347240464).

112322103200 is an abundant number, since it is smaller than the sum of its proper divisors (162372377728).

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

112322103200 is a wasteful number, since it uses less digits than its factorization.

112322103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249966 (or 249953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 112322103200 its reverse (2301223211), we get a palindrome (114623326411).

The spelling of 112322103200 in words is "one hundred twelve billion, three hundred twenty-two million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 563 800 1126 2252 2815 4504 5630 9008 11260 14075 18016 22520 28150 45040 56300 90080 112600 225200 249383 450400 498766 997532 1246915 1995064 2493830 3990128 4987660 6234575 7980256 9975320 12469150 19950640 24938300 39901280 49876600 99753200 140402629 199506400 280805258 561610516 702013145 1123221032 1404026290 2246442064 2808052580 3510065725 4492884128 5616105160 7020131450 11232210320 14040262900 22464420640 28080525800 56161051600 112322103200