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110100022020200 = 23528320993159853
BaseRepresentation
bin11001000010001010101000…
…101100111100100001101000
3112102211110101211121212101202
4121002022220230330201220
5103412334321114121300
61030055130222503332
732122315116620102
oct3102125054744150
9472743354555352
10110100022020200
1132099180146403
1210422156734b48
1349585065209b4
141d28c25c94572
15cade4a84bad5
hex6422a8b3c868

110100022020200 has 96 divisors (see below), whose sum is σ = 259190184204000. Its totient is φ = 43488663893760.

The previous prime is 110100022020119. The next prime is 110100022020203. The reversal of 110100022020200 is 2020220001011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110100022020203) by changing a digit.

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, 33263474 + ... + 36423326.

It is an arithmetic number, because the mean of its divisors is an integer number (2699897752125).

Almost surely, 2110100022020200 is an apocalyptic number.

110100022020200 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 110100022020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129595092102000).

110100022020200 is an abundant number, since it is smaller than the sum of its proper divisors (149090162183800).

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

110100022020200 is a wasteful number, since it uses less digits than its factorization.

110100022020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162051 (or 3162042 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110100022020200 its reverse (2020220001011), we get a palindrome (112120242021211).

The spelling of 110100022020200 in words is "one hundred ten trillion, one hundred billion, twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 2099 3320 4150 4198 8300 8396 10495 16600 16792 20990 41980 52475 83960 104950 174217 209900 348434 419800 696868 871085 1393736 1742170 3159853 3484340 4355425 6319706 6968680 8710850 12639412 15799265 17421700 25278824 31598530 34843400 63197060 78996325 126394120 157992650 262267799 315985300 524535598 631970600 1049071196 1311338995 2098142392 2622677990 5245355980 6556694975 6632531447 10490711960 13113389950 13265062894 26226779900 26530125788 33162657235 52453559800 53060251576 66325314470 132650628940 165813286175 265301257880 331626572350 550500110101 663253144700 1101000220202 1326506289400 2202000440404 2752500550505 4404000880808 5505001101010 11010002202020 13762502752525 22020004404040 27525005505050 55050011010100 110100022020200