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11201122210221 = 32717313716310753
BaseRepresentation
bin1010001011111111011011…
…1010010001000110101101
31110122211001110120112211100
42202333312322101012231
52432004344241211341
635453420254313313
72234153151566256
oct242776672210655
943584043515740
1011201122210221
113629407525279
12130aa291b8839
1363335209c338
142aa1cc6d7b2d
151465784003b6
hexa2ff6e911ad

11201122210221 has 96 divisors (see below), whose sum is σ = 16857785947392. Its totient is φ = 7163495055360.

The previous prime is 11201122210217. The next prime is 11201122210259. The reversal of 11201122210221 is 12201222110211.

11201122210221 is a `hidden beast` number, since 1 + 120 + 112 + 2 + 210 + 221 = 666.

It is not a de Polignac number, because 11201122210221 - 22 = 11201122210217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11201122210194 and 11201122210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201122200221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1041668781 + ... + 1041679533.

It is an arithmetic number, because the mean of its divisors is an integer number (175601936952).

Almost surely, 211201122210221 is an apocalyptic number.

It is an amenable number.

11201122210221 is a deficient number, since it is larger than the sum of its proper divisors (5656663737171).

11201122210221 is a wasteful number, since it uses less digits than its factorization.

11201122210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203 (or 11200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11201122210221 its reverse (12201222110211), we get a palindrome (23402344320432).

It can be divided in two parts, 1120112 and 2210221, that added together give a palindrome (3330333).

The spelling of 11201122210221 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 71 73 137 163 213 219 411 489 639 657 1233 1467 5183 9727 10001 10753 11573 11899 15549 22331 29181 30003 32259 34719 35697 46647 66993 87543 90009 96777 104157 107091 200979 710071 763463 784969 844829 1473161 1585501 1630163 1752739 2130213 2290389 2354907 2534487 4419483 4756503 4890489 5258217 6390639 6871167 7064721 7603461 13258449 14269509 14671467 15774651 55732799 104594431 107540753 115741573 124444469 127949947 167198397 240125243 313783293 322622259 347224719 373333407 383849841 501595191 720375729 941349879 967866777 1041674157 1120000221 1151549523 2161127187 7635393463 9084446237 17048892253 17529142739 22906180389 27253338711 51146676759 52587428217 68718541167 81760016133 153440030277 157762284651 1244569134469 3733707403407 11201122210221