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112201112300 = 225219379315569
BaseRepresentation
bin110100001111110110…
…1010001101011101100
3101201121111012001210212
41220133231101223230
53314241441043200
6123313335121552
711051306501324
oct1503755215354
9351544161725
10112201112300
114364766a392
12198b3b132b8
13a77152a914
145605670284
152dba484035
hex1a1fb51aec

112201112300 has 72 divisors (see below), whose sum is σ = 256374997200. Its totient is φ = 42504376320.

The previous prime is 112201112297. The next prime is 112201112321. The reversal of 112201112300 is 3211102211.

It is a super-2 number, since 2×1122011123002 (a number of 23 digits) contains 22 as substring.

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, 7198916 + ... + 7214484.

It is an arithmetic number, because the mean of its divisors is an integer number (3560763850).

Almost surely, 2112201112300 is an apocalyptic number.

112201112300 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 112201112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128187498600).

112201112300 is an abundant number, since it is smaller than the sum of its proper divisors (144173884900).

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

112201112300 is a wasteful number, since it uses less digits than its factorization.

112201112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19395 (or 19388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 112201112300 its reverse (3211102211), we get a palindrome (115412214511).

It can be divided in two parts, 1122011 and 12300, that added together give a palindrome (1134311).

The spelling of 112201112300 in words is "one hundred twelve billion, two hundred one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 3793 7586 15172 15569 18965 31138 37930 62276 72067 75860 77845 94825 144134 155690 189650 288268 295811 311380 360335 379300 389225 591622 720670 778450 1183244 1441340 1479055 1556900 1801675 2958110 3603350 5916220 7206700 7395275 14790550 29581100 59053217 118106434 236212868 295266085 590532170 1122011123 1181064340 1476330425 2244022246 2952660850 4488044492 5610055615 5905321700 11220111230 22440222460 28050278075 56100556150 112201112300