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210221102120112 = 243217670312811373
BaseRepresentation
bin101111110011000111101010…
…000111011011110010110000
31000120022221102001111202201100
4233303013222013123302300
5210023230304120320422
62023034124024204400
762164654611666156
oct5763075207336260
91016287361452640
10210221102120112
1160a8a2a576a756
121b6b2311909700
13903b9c3554b75
1439caa8164b3d6
1519484eed267ac
hexbf31ea1dbcb0

210221102120112 has 120 divisors (see below), whose sum is σ = 623027571701184. Its totient is φ = 65941874030592.

The previous prime is 210221102120041. The next prime is 210221102120123. The reversal of 210221102120112 is 211021201122012.

210221102120112 is a `hidden beast` number, since 210 + 22 + 110 + 212 + 0 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10003258 + ... + 22814630.

Almost surely, 2210221102120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210221102120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311513785850592).

210221102120112 is an abundant number, since it is smaller than the sum of its proper divisors (412806469581072).

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

210221102120112 is a wasteful number, since it uses less digits than its factorization.

210221102120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818107 (or 12818098 counting only the distinct ones).

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

Adding to 210221102120112 its reverse (211021201122012), we get a palindrome (421242303242124).

The spelling of 210221102120112 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 6703 13406 20109 26812 40218 53624 60327 80436 107248 113951 120654 160872 227902 241308 321744 341853 455804 482616 683706 911608 965232 1025559 1367412 1823216 2051118 2734824 4102236 5469648 8204472 12811373 16408944 25622746 38434119 51245492 76868238 102490984 115302357 153736476 204981968 217793341 230604714 307472952 435586682 461209428 614945904 653380023 871173364 922418856 1306760046 1742346728 1844837712 1960140069 2613520092 3484693456 3920280138 5227040184 7840560276 10454080368 15681120552 31362241104 85874633219 171749266438 257623899657 343498532876 515247799314 686997065752 772871698971 1030495598628 1373994131504 1459868764723 1545743397942 2060991197256 2919737529446 3091486795884 4121982394512 4379606294169 5839475058892 6182973591768 8759212588338 11678950117784 12365947183536 13138818882507 17518425176676 23357900235568 26277637765014 35036850353352 52555275530028 70073700706704 105110551060056 210221102120112