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200211012112221 = 331173463178711161
BaseRepresentation
bin101101100001011101000010…
…010000011100111101011101
3222020212222121200011000011000
4231201131002100130331131
5202220224123100042341
61545451400315220513
760112524343552125
oct5541350220347535
9866788550130130
10200211012112221
1158880016935440
121a55629aa47739
138793a81b86796
14376239c449c85
151822e341968b6
hexb6174241cf5d

200211012112221 has 128 divisors (see below), whose sum is σ = 328927716679680. Its totient is φ = 119341811635200.

The previous prime is 200211012112217. The next prime is 200211012112301. The reversal of 200211012112221 is 122211210112002.

200211012112221 is a `hidden beast` number, since 20 + 0 + 211 + 0 + 1 + 211 + 2 + 221 = 666.

200211012112221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200211012112221 - 22 = 200211012112217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200211012112194 and 200211012112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211012112921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17938441881 + ... + 17938453041.

It is an arithmetic number, because the mean of its divisors is an integer number (2569747786560).

Almost surely, 2200211012112221 is an apocalyptic number.

It is an amenable number.

200211012112221 is a deficient number, since it is larger than the sum of its proper divisors (128716704567459).

200211012112221 is a wasteful number, since it uses less digits than its factorization.

200211012112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13504 (or 13498 counting only the distinct ones).

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

Adding to 200211012112221 its reverse (122211210112002), we get a palindrome (322422222224223).

The spelling of 200211012112221 in words is "two hundred trillion, two hundred eleven billion, twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 73 99 219 297 463 657 803 1389 1787 1971 2409 4167 5093 5361 7227 11161 12501 15279 16083 19657 21681 33483 33799 45837 48249 58971 100449 101397 122771 130451 137511 176913 301347 304191 368313 371789 391353 530739 814753 827381 912573 1104939 1115367 1174059 1434961 2444259 2482143 3314817 3346101 3522177 4304883 5167543 7332777 7446429 8962283 9101191 10038303 12914649 15502629 19944707 21998331 22339287 26886849 27303573 38743947 46507887 56842973 59834121 60398813 80660547 81910719 139523661 170528919 179502363 181196439 219391777 241981641 245732157 377230639 511586757 538507089 543589317 658175331 664386943 1131691917 1455963611 1534760271 1630767951 1974525993 1993160829 3395075751 4149537029 4367890833 5923577979 5979482487 9234399341 10185227253 12448611087 13103672499 16015599721 17938447461 27703198023 37345833261 39311017497 48046799163 83109594069 101578392751 112037499783 144140397489 249328782207 304735178253 432421192467 674111151893 914205534759 2022333455679 2742616604277 6067000367037 7415222670823 18201001101111 22245668012469 66737004037407 200211012112221