Search a number
-
+
213242021111133 = 327192835771090979
BaseRepresentation
bin110000011111000101000110…
…111010110110010101011101
31000222000201221002112220002200
4300133011012322312111131
5210422224124401024013
62033310010534242113
762626141033513260
oct6037050672662535
91028021832486080
10213242021111133
1161a44484788a63
121babb8954b6339
1391ca836c75161
143a92d7c8cacd7
15199bdaad14e73
hexc1f146eb655d

213242021111133 has 96 divisors (see below), whose sum is σ = 372500021836800. Its totient is φ = 114831910545408.

The previous prime is 213242021111123. The next prime is 213242021111219. The reversal of 213242021111133 is 331111120242312.

213242021111133 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 420 + 211 + 11 + 13 + 3 = 666.

It is not a de Polignac number, because 213242021111133 - 214 = 213242021094749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213242021111097 and 213242021111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213242021111123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194913838 + ... + 196004816.

It is an arithmetic number, because the mean of its divisors is an integer number (3880208560800).

Almost surely, 2213242021111133 is an apocalyptic number.

It is an amenable number.

213242021111133 is a deficient number, since it is larger than the sum of its proper divisors (159258000725667).

213242021111133 is a wasteful number, since it uses less digits than its factorization.

213242021111133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091871 (or 1091868 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 213242021111133 its reverse (331111120242312), we get a palindrome (544353141353445).

The spelling of 213242021111133 in words is "two hundred thirteen trillion, two hundred forty-two billion, twenty-one million, one hundred eleven thousand, one hundred thirty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 283 399 577 849 1197 1731 1981 2547 4039 5193 5377 5943 10963 12117 16131 17829 32889 36351 37639 48393 76741 98667 112917 163291 230223 338751 489873 690669 1090979 1143037 1469619 3102529 3272937 3429111 7636853 9307587 9818811 10287333 20728601 21717703 22910559 27922761 62185803 65153109 68731677 145100207 186557409 195459327 308747057 435300621 629494883 926241171 1305901863 1888484649 2161229399 2778723513 4406464181 5665453947 5866194083 6483688197 11960402777 13219392543 17598582249 19451064591 35881208331 39658177629 41063358581 52795746747 83722819439 107643624993 123190075743 178147051889 251168458317 369570227229 534441155667 753505374951 1247029363223 1603323467001 3384793985891 3741088089669 10154381957673 11223264269007 23693557901237 30463145873019 71080673703711 213242021111133