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211200011010021 = 31117191011013193663
BaseRepresentation
bin110000000001010111010101…
…101000011111111111100101
31000200210112010220021210021210
4300001113111220133333211
5210140300110304310041
62025103540131102033
762325461105162265
oct6001272550377745
91020715126253253
10211200011010021
1161327470273450
121b82bb88441919
1390b00ca0885b7
143a221c69057a5
151963be4b45016
hexc015d5a1ffe5

211200011010021 has 128 divisors (see below), whose sum is σ = 346123241717760. Its totient is φ = 112887903744000.

The previous prime is 211200011010011. The next prime is 211200011010067. The reversal of 211200011010021 is 120010110002112.

It is not a de Polignac number, because 211200011010021 - 230 = 211198937268197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211200011009979 and 211200011010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200011010011) 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, 1090457436 + ... + 1090651098.

It is an arithmetic number, because the mean of its divisors is an integer number (2704087825920).

Almost surely, 2211200011010021 is an apocalyptic number.

It is an amenable number.

211200011010021 is a deficient number, since it is larger than the sum of its proper divisors (134923230707739).

211200011010021 is a wasteful number, since it uses less digits than its factorization.

211200011010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194827.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211200011010021 its reverse (120010110002112), we get a palindrome (331210121012133).

The spelling of 211200011010021 in words is "two hundred eleven trillion, two hundred billion, eleven million, ten thousand, twenty-one".

Divisors: 1 3 11 17 19 33 51 57 101 187 209 303 323 561 627 969 1013 1111 1717 1919 3039 3333 3553 5151 5757 10659 11143 17221 18887 19247 21109 32623 33429 51663 56661 57741 63327 97869 102313 189431 193663 211717 306939 327199 358853 568293 580989 635151 981597 1076559 1125443 1739321 1943947 2130293 3292271 3376329 3599189 3679597 5217963 5831841 6390879 9876813 10797567 11038791 19132531 19559963 21383417 33047099 36214981 40475567 57397593 58679889 62553149 64150251 99141297 108644943 121426701 187659447 196180619 215159593 332519371 363518089 371639297 588541857 645478779 688084639 997558113 1090554267 1114917891 2064253917 2157986809 3335070523 3657713081 3727431761 4088032267 6317868049 6473960427 10005211569 10973139243 11182295283 12264096801 18953604147 19814242519 36685775753 41001749371 59442727557 63366339937 69496548539 110057327259 123005248113 190099019811 208489645617 217956667709 336842122823 376470607861 653870003127 697029739307 1010526368469 1129411823583 2091089217921 3705263351053 4141176686471 6400000333637 11115790053159 12423530059413 19200001000911 70400003670007 211200011010021