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20201001221100 = 22352730373167443
BaseRepresentation
bin1001001011111011010011…
…00000000111101111101100
32122112012022111201111022010
410211331221200013233230
510121433122303033400
6110544113431521220
74153321433143560
oct445755140075754
978465274644263
1020201001221100
116489218606497
12232310a529210
13b36c3bb79b1b
144dba3b2c76a0
1525071b17d450
hex125f69807bec

20201001221100 has 144 divisors (see below), whose sum is σ = 66819993191168. Its totient is φ = 4615849877760.

The previous prime is 20201001221081. The next prime is 20201001221101. The reversal of 20201001221100 is 112210010202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20201001221101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4793979 + ... + 7961421.

Almost surely, 220201001221100 is an apocalyptic number.

20201001221100 is a gapful number since it is divisible by the number (20) 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 20201001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33409996595584).

20201001221100 is an abundant number, since it is smaller than the sum of its proper divisors (46618991970068).

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

20201001221100 is a wasteful number, since it uses less digits than its factorization.

20201001221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170504 (or 3170497 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20201001221100 its reverse (112210010202), we get a palindrome (20313211231302).

The spelling of 20201001221100 in words is "twenty trillion, two hundred one billion, one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3037 6074 9111 12148 15185 18222 21259 30370 36444 42518 45555 60740 63777 75925 85036 91110 106295 127554 151850 182220 212590 227775 255108 303700 318885 425180 455550 531475 637770 911100 1062950 1275540 1594425 2125900 3167443 3188850 6334886 6377700 9502329 12669772 15837215 19004658 22172101 31674430 38009316 44344202 47511645 63348860 66516303 79186075 88688404 95023290 110860505 133032606 158372150 190046580 221721010 237558225 266065212 316744300 332581515 443442020 475116450 554302525 665163030 950232900 1108605050 1330326060 1662907575 2217210100 3325815150 6651630300 9619524391 19239048782 28858573173 38478097564 48097621955 57717146346 67336670737 96195243910 115434292692 134673341474 144292865865 192390487820 202010012211 240488109775 269346682948 288585731730 336683353685 404020024422 480976219550 577171463460 673366707370 721464329325 808040048844 961952439100 1010050061055 1346733414740 1442928658650 1683416768425 2020100122110 2885857317300 3366833536850 4040200244220 5050250305275 6733667073700 10100500610550 20201001221100