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21202121220111 = 331317109145922343
BaseRepresentation
bin1001101001000100000001…
…11001110110000000001111
32210001220101021121202121000
410310202000321312000033
510234333421013020421
6113032041531511343
74315542220552056
oct464420071660017
983056337552530
1021202121220111
1168348507661a7
1224651435b8553
13baa4751a9170
1453428c39739d
1526b7b0dcb226
hex134880e7600f

21202121220111 has 128 divisors (see below), whose sum is σ = 36171539712000. Its totient is φ = 12158417737728.

The previous prime is 21202121220103. The next prime is 21202121220143. The reversal of 21202121220111 is 11102212120212.

21202121220111 is a `hidden beast` number, since 2 + 120 + 212 + 1 + 220 + 111 = 666.

It is not a de Polignac number, because 21202121220111 - 23 = 21202121220103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202121220101) 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, 948926806 + ... + 948949148.

It is an arithmetic number, because the mean of its divisors is an integer number (282590154000).

Almost surely, 221202121220111 is an apocalyptic number.

21202121220111 is a deficient number, since it is larger than the sum of its proper divisors (14969418491889).

21202121220111 is a wasteful number, since it uses less digits than its factorization.

21202121220111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23950 (or 23944 counting only the distinct ones).

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

Adding to 21202121220111 its reverse (11102212120212), we get a palindrome (32304333340323).

The spelling of 21202121220111 in words is "twenty-one trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 3 9 13 17 27 39 51 109 117 153 221 327 351 459 663 981 1417 1459 1853 1989 2943 4251 4377 5559 5967 12753 13131 16677 18967 22343 24089 24803 38259 39393 50031 56901 67029 72267 74409 159031 170703 201087 216801 223227 290459 322439 379831 477093 512109 603261 650403 669681 871377 967317 1139493 1431279 2067403 2435387 2614131 2703527 2901951 3418479 4293837 4937803 6202209 7306161 7842393 8110581 8705853 10255437 14813409 18606627 21918483 24331743 31660031 32598437 35145851 41401579 44440227 55819881 65755449 72995229 94980093 97795311 105437553 124204737 133320681 284940279 293385933 316312659 372614211 423779681 538220527 554173429 854820837 880157799 948937977 1117842633 1271339043 1614661581 1662520287 3553229633 3814017129 4843984743 4987560861 7204254577 10659688899 11442051387 14531954229 14962682583 21612763731 31979066697 46191985229 60404903761 64838291193 95937200091 138575955687 181214711283 194514873579 415727867061 543644133849 785263748893 1247183601183 1630932401547 2355791246679 7067373740037 21202121220111