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211210102012221 = 331324131140120021
BaseRepresentation
bin110000000001100000101111…
…000110100111100100111101
31000200211111012011021210222000
4300001200233012213210331
5210140431242103342341
62025112325324212513
762326266136242624
oct6001405706474475
91020744164253860
10211210102012221
1161330779393794
121b831b2399a139
1390b1047888c10
143a228a2b966bb
1519640d59cb8b6
hexc0182f1a793d

211210102012221 has 128 divisors (see below), whose sum is σ = 340323153730560. Its totient is φ = 128691763200000.

The previous prime is 211210102012163. The next prime is 211210102012307. The reversal of 211210102012221 is 122210201012112.

211210102012221 is a `hidden beast` number, since 21 + 1 + 210 + 10 + 201 + 2 + 221 = 666.

It is not a de Polignac number, because 211210102012221 - 218 = 211210101750077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211210102012194 and 211210102012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210102032221) 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, 10549418191 + ... + 10549438211.

It is an arithmetic number, because the mean of its divisors is an integer number (2658774638520).

Almost surely, 2211210102012221 is an apocalyptic number.

It is an amenable number.

211210102012221 is a deficient number, since it is larger than the sum of its proper divisors (129113051718339).

211210102012221 is a wasteful number, since it uses less digits than its factorization.

211210102012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20996 (or 20990 counting only the distinct ones).

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

Adding to 211210102012221 its reverse (122210201012112), we get a palindrome (333420303024333).

The spelling of 211210102012221 in words is "two hundred eleven trillion, two hundred ten billion, one hundred two million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 241 311 351 401 723 933 1203 2169 2799 3133 3609 4043 5213 6507 8397 9399 10827 12129 15639 20021 28197 36387 46917 60063 74951 84591 96641 109161 124711 140751 180189 224853 260273 289923 374133 540567 674559 780819 869769 974363 1122399 1256333 1621243 2023677 2342457 2609307 2923089 3367197 3768999 4825061 4863729 6226531 7027371 8028421 8769267 11306997 14475183 14591187 18679593 24085263 26307801 30055351 33920991 43425549 43773561 56038779 62725793 72255789 80944903 90166053 104369473 130276647 168116337 188177379 216767367 242834709 270498159 313108419 390719563 564532137 728504127 811494477 939325257 1172158689 1500593971 1693596411 1934849461 2185512381 2496838931 2817975771 3516476067 4501781913 5804548383 7490516793 10549428201 13505345739 17413645149 19507721623 22471550379 25153042993 32458906103 40516037217 52240935447 58523164869 67414651137 75459128979 97376718309 175569494607 226377386937 292130154927 526708483821 601738182371 679132160811 876390464781 1805214547113 5415643641339 7822596370823 16246930924017 23467789112469 70403367337407 211210102012221