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110112300200 = 23527228339703
BaseRepresentation
bin110011010001100110…
…1000101110010101000
3101112012220201102021202
41212203031011302220
53301002222101300
6122330200423332
710645454052200
oct1464315056250
9345186642252
10110112300200
11427755829a1
1219410477b48
13a4ca859226
145488097400
152ce6dcbad5
hex19a3345ca8

110112300200 has 144 divisors (see below), whose sum is σ = 298868683680. Its totient is φ = 37618439040.

The previous prime is 110112300169. The next prime is 110112300203. The reversal of 110112300200 is 2003211011.

It is not an unprimeable number, because it can be changed into a prime (110112300203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2753549 + ... + 2793251.

It is an arithmetic number, because the mean of its divisors is an integer number (2075476970).

Almost surely, 2110112300200 is an apocalyptic number.

110112300200 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 110112300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149434341840).

110112300200 is an abundant number, since it is smaller than the sum of its proper divisors (188756383480).

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

110112300200 is a wasteful number, since it uses less digits than its factorization.

110112300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40016 (or 40000 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 110112300200 its reverse (2003211011), we get a palindrome (112115511211).

The spelling of 110112300200 in words is "one hundred ten billion, one hundred twelve million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 283 350 392 490 566 700 980 1132 1225 1400 1415 1960 1981 2264 2450 2830 3962 4900 5660 7075 7924 9800 9905 11320 13867 14150 15848 19810 27734 28300 39620 39703 49525 55468 56600 69335 79240 79406 99050 110936 138670 158812 198100 198515 277340 277921 317624 346675 396200 397030 554680 555842 693350 794060 992575 1111684 1386700 1389605 1588120 1945447 1985150 2223368 2773400 2779210 3890894 3970300 5558420 6948025 7781788 7940600 9727235 11116840 11235949 13896050 15563576 19454470 22471898 27792100 38908940 44943796 48636175 55584200 56179745 77817880 78651643 89887592 97272350 112359490 157303286 194544700 224718980 280898725 314606572 389089400 393258215 449437960 550561501 561797450 629213144 786516430 1101123002 1123594900 1573032860 1966291075 2202246004 2247189800 2752807505 3146065720 3932582150 4404492008 5505615010 7865164300 11011230020 13764037525 15730328600 22022460040 27528075050 55056150100 110112300200