Search a number
-
+
110012201200 = 24521138776449
BaseRepresentation
bin110011001110100111…
…1001111100011110000
3101111221221100212021101
41212131033033203300
53300301110414300
6122312223134144
710643130165316
oct1463517174360
9344857325241
10110012201200
1142724024050
12193a2a44354
13a4b2bac655
145478a7c0b6
152cdd207b6a
hex199d3cf8f0

110012201200 has 120 divisors (see below), whose sum is σ = 288451069200. Its totient is φ = 39987916800.

The previous prime is 110012201129. The next prime is 110012201203. The reversal of 110012201200 is 2102210011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012201203) 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, 17055576 + ... + 17062024.

It is an arithmetic number, because the mean of its divisors is an integer number (2403758910).

Almost surely, 2110012201200 is an apocalyptic number.

110012201200 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 110012201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144225534600).

110012201200 is an abundant number, since it is smaller than the sum of its proper divisors (178438868000).

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

110012201200 is a wasteful number, since it uses less digits than its factorization.

110012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110012201200 its reverse (2102210011), we get a palindrome (112114411211).

The spelling of 110012201200 in words is "one hundred ten billion, twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 3877 4400 6449 7754 12898 15508 19385 25796 31016 32245 38770 42647 51592 62032 64490 70939 77540 85294 96925 103184 128980 141878 155080 161225 170588 193850 213235 257960 283756 310160 322450 341176 354695 387700 426470 515920 567512 644900 682352 709390 775400 852940 1066175 1135024 1289800 1418780 1550800 1705880 1773475 2132350 2579600 2837560 3411760 3546950 4264700 5675120 7093900 8529400 14187800 17058800 25002773 28375600 50005546 100011092 125013865 200022184 250027730 275030503 400044368 500055460 550061006 625069325 1000110920 1100122012 1250138650 1375152515 2000221840 2200244024 2500277300 2750305030 4400488048 5000554600 5500610060 6875762575 10001109200 11001220120 13751525150 22002440240 27503050300 55006100600 110012201200