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220212202110201 = 33741125141227089
BaseRepresentation
bin110010000100100000100110…
…000101001111110011111001
31001212201002011222210200011000
4302010200212011033303321
5212330424042220011301
62100204031123155213
764245543440453640
oct6204404605176371
91055632158720130
10220212202110201
116419151a197584
1220846724b15b09
1395b4bc986c222
143c54482752357
151a6d35873e786
hexc8482614fcf9

220212202110201 has 64 divisors (see below), whose sum is σ = 381944596723200. Its totient is φ = 122764862822400.

The previous prime is 220212202110191. The next prime is 220212202110211. The reversal of 220212202110201 is 102011202212022.

It is a happy number.

220212202110201 is a `hidden beast` number, since 2 + 20 + 212 + 20 + 211 + 0 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (220212202110191) and next prime (220212202110211).

It is not a de Polignac number, because 220212202110201 - 29 = 220212202109689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220212202110211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 969604065 + ... + 969831153.

It is an arithmetic number, because the mean of its divisors is an integer number (5967884323800).

Almost surely, 2220212202110201 is an apocalyptic number.

220212202110201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220212202110201 is a deficient number, since it is larger than the sum of its proper divisors (161732394612999).

220212202110201 is a wasteful number, since it uses less digits than its factorization.

220212202110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352287 (or 352281 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220212202110201 its reverse (102011202212022), we get a palindrome (322223404322223).

The spelling of 220212202110201 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred two million, one hundred ten thousand, two hundred one".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 2583 7749 125141 227089 375423 681267 875987 1126269 1589623 2043801 2627961 3378807 4768869 5130781 6131403 7883883 9310649 14306607 15392343 23651649 27931947 35915467 42919821 46177029 65174543 83795841 107746401 138531087 195523629 251387523 323239203 586570887 969717609 1759712661 28418144549 85254433647 198927011843 255763300941 596781035529 767289902823 1165143926509 1790343106587 3495431779527 5371029319761 8156007485563 10486295338581 24468022456689 31458886015743 73404067370067 220212202110201