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21202022121201 = 3441591011071359
BaseRepresentation
bin1001101001000011110101…
…11111110011111011110001
32210001220010101011000110000
410310201322333303323301
510234333220130334301
6113032024031500213
74315536605332005
oct464417277637361
983056111130400
1021202022121201
1168347aa82a779
122465116387669
13baa45a7bc85c
1453427d15c705
1526b7a7353786
hex13487aff3ef1

21202022121201 has 80 divisors (see below), whose sum is σ = 33321267302400. Its totient is φ = 13421973024000.

The previous prime is 21202022121197. The next prime is 21202022121209. The reversal of 21202022121201 is 10212122020212.

It is a happy number.

21202022121201 is a `hidden beast` number, since 21 + 202 + 0 + 221 + 21 + 201 = 666.

It is not a de Polignac number, because 21202022121201 - 22 = 21202022121197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21202022121209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19254160 + ... + 20325518.

It is an arithmetic number, because the mean of its divisors is an integer number (416515841280).

Almost surely, 221202022121201 is an apocalyptic number.

It is an amenable number.

21202022121201 is a deficient number, since it is larger than the sum of its proper divisors (12119245181199).

21202022121201 is a wasteful number, since it uses less digits than its factorization.

21202022121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071572 (or 1071563 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202022121201 its reverse (10212122020212), we get a palindrome (31414144141413).

The spelling of 21202022121201 in words is "twenty-one trillion, two hundred two billion, twenty-two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 27 41 59 81 101 123 177 303 369 531 909 1107 1593 2419 2727 3321 4141 4779 5959 7257 8181 12423 17877 21771 37269 53631 65313 111807 160893 195939 244319 335421 482679 732957 1071359 2198871 3214077 6596613 9642231 19789839 28926693 43925719 63210181 86780079 108207259 131777157 189630543 324621777 395331471 568891629 973865331 1185994413 1706674887 2591617421 2921595993 3557983239 4436497619 5120024661 6384228281 7774852263 8764787979 13309492857 19152684843 23324556789 39928478571 57458054529 69973670367 119785435713 172374163587 209921011101 261753359521 359356307139 517122490761 785260078563 2355780235689 7067340707067 21202022121201