Search a number
-
+
212201020221021 = 3713131197289213
BaseRepresentation
bin110000001111111011100110…
…011011100110011001011101
31000211100012220221201110000000
4300033323212123212121131
5210303200142134033041
62031151445232324513
762461006046114406
oct6017734633463135
91024305827643000
10212201020221021
1161682a46933517
121b971b903a3739
1391536164679c0
143a58826db69ad
15197ec7ecabbb6
hexc0fee66e665d

212201020221021 has 128 divisors (see below), whose sum is σ = 347104555015680. Its totient is φ = 128930154312960.

The previous prime is 212201020220999. The next prime is 212201020221097. The reversal of 212201020221021 is 120122020102212.

It is a happy number.

212201020221021 is a `hidden beast` number, since 2 + 1 + 220 + 10 + 202 + 210 + 21 = 666.

It is not a de Polignac number, because 212201020221021 - 29 = 212201020220509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212201020220985 and 212201020221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201020221221) 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, 733574211 + ... + 733863423.

It is an arithmetic number, because the mean of its divisors is an integer number (2711754336060).

Almost surely, 2212201020221021 is an apocalyptic number.

It is an amenable number.

212201020221021 is a deficient number, since it is larger than the sum of its proper divisors (134903534794659).

212201020221021 is a wasteful number, since it uses less digits than its factorization.

212201020221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289575 (or 289557 counting only the distinct ones).

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

Adding to 212201020221021 its reverse (120122020102212), we get a palindrome (332323040323233).

The spelling of 212201020221021 in words is "two hundred twelve trillion, two hundred one billion, twenty million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 13 27 39 81 117 131 197 243 351 393 591 729 1053 1179 1703 1773 2187 2561 3159 3537 5109 5319 7683 9477 10611 15327 15957 23049 25807 28431 31833 45981 47871 69147 77421 95499 137943 143613 207441 232263 286497 289213 335491 413829 430839 622323 696789 867639 1006473 1241487 1866969 2090367 2602917 3019419 3724461 3759769 5600907 6271101 7808751 9058257 11279307 18813303 23426253 27174771 33837921 37886903 56439909 56974961 70278759 81524313 101513763 113660709 170924883 210836277 244572939 304541289 340982127 492529739 512774649 632508831 733718817 740674493 913623867 1022946381 1477589217 1538323947 2222023479 2740871601 3068839143 4432767651 4614971841 6666070437 7463719891 8222614803 9206517429 13298302953 13844915523 19998211311 22391159673 27619552287 39894908859 41534746569 59994633933 67173479019 82858656861 97028358583 119684726577 124604239707 179983901799 201520437057 291085075749 359054179731 539951705397 604561311171 873255227247 1077162539193 1619855116191 1813683933513 2619765681741 5441051800539 7859297045223 16323155401617 23577891135669 70733673407007 212201020221021