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20110221202200 = 23352263127441199
BaseRepresentation
bin1001001001010010001101…
…00101110101001100011000
32122012111222220002201101220
410210221012211311030120
510113441213111432300
6110434301425012040
74143626012543463
oct444510645651430
978174886081356
1020110221202200
116453773661688
1223095b4484020
13b2b50257c5cc
144d74a89822da
1524d1a65c4da0
hex124a46975318

20110221202200 has 96 divisors (see below), whose sum is σ = 62578726848000. Its totient is φ = 5342335020160.

The previous prime is 20110221202189. The next prime is 20110221202217. The reversal of 20110221202200 is 220212201102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20110221202200.

It is a congruent number.

It is an unprimeable number.

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, 63562800 + ... + 63878399.

It is an arithmetic number, because the mean of its divisors is an integer number (651861738000).

Almost surely, 220110221202200 is an apocalyptic number.

20110221202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110221202200 is an abundant number, since it is smaller than the sum of its proper divisors (42468505645800).

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

20110221202200 is a wasteful number, since it uses less digits than its factorization.

20110221202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127441481 (or 127441472 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20110221202200 its reverse (220212201102), we get a palindrome (20330433403302).

The spelling of 20110221202200 in words is "twenty trillion, one hundred ten billion, two hundred twenty-one million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 263 300 526 600 789 1052 1315 1578 2104 2630 3156 3945 5260 6312 6575 7890 10520 13150 15780 19725 26300 31560 39450 52600 78900 157800 127441199 254882398 382323597 509764796 637205995 764647194 1019529592 1274411990 1529294388 1911617985 2548823980 3058588776 3186029975 3823235970 5097647960 6372059950 7646471940 9558089925 12744119900 15292943880 19116179850 25488239800 33517035337 38232359700 67034070674 76464719400 100551106011 134068141348 167585176685 201102212022 268136282696 335170353370 402204424044 502755530055 670340706740 804408848088 837925883425 1005511060110 1340681413480 1675851766850 2011022120220 2513777650275 3351703533700 4022044240440 5027555300550 6703407067400 10055110601100 20110221202200