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212201010011211 = 3136111315118732791
BaseRepresentation
bin110000001111111011100101…
…110100101001110001001011
31000211100012220020111201202220
4300033323211310221301023
5210303200132030324321
62031151444225425123
762461005563252244
oct6017734564516113
91024305806451686
10212201010011211
1161682a4109a761
121b971b88a9b1a3
1391536143017b0
143a588258b9ccb
15197ec7de419c6
hexc0fee5d29c4b

212201010011211 has 128 divisors (see below), whose sum is σ = 314784367177728. Its totient is φ = 126351912960000.

The previous prime is 212201010011153. The next prime is 212201010011327. The reversal of 212201010011211 is 112110010102212.

It is a happy number.

It is not a de Polignac number, because 212201010011211 - 237 = 212063571057739 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212201010811211) 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, 76030457226 + ... + 76030460016.

It is an arithmetic number, because the mean of its divisors is an integer number (2459252868576).

Almost surely, 2212201010011211 is an apocalyptic number.

212201010011211 is a deficient number, since it is larger than the sum of its proper divisors (102583357166517).

212201010011211 is a wasteful number, since it uses less digits than its factorization.

212201010011211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212201010011211 its reverse (112110010102212), we get a palindrome (324311020113423).

It can be divided in two parts, 21220101001 and 1211, that added together give a palindrome (21220102212).

The spelling of 212201010011211 in words is "two hundred twelve trillion, two hundred one billion, ten million, eleven thousand, two hundred eleven".

Divisors: 1 3 13 39 61 113 151 183 339 453 793 1469 1873 1963 2379 2791 4407 5619 5889 6893 8373 9211 17063 20679 24349 27633 36283 51189 73047 89609 108849 114253 119743 170251 211649 221819 268827 282823 315383 342759 359229 421441 510753 634947 665457 848469 946149 1040843 1264323 1485289 2213263 2751437 3122529 3676699 4099979 4455867 5227543 5478733 6639789 8254311 11030097 12299937 12910589 13530959 15682629 16436199 17252203 19238363 25707901 31958999 38731767 40592877 47622833 51756609 57715089 67958059 77123703 95876997 142868499 167837657 203874177 224278639 250098719 318880123 334202713 415466987 503512971 590712359 619096829 672835917 750296157 789358993 956640369 1002608139 1246400961 1772137077 1857290487 1949498939 2368076979 2904992813 4145441599 5848496817 7679260667 8714978439 10261666909 12436324797 23037782001 25343486207 30785000727 36033453899 37764906569 48150898573 76030458621 89197566209 108100361697 113294719707 144452695719 267592698627 468434900687 625961681449 1159568360717 1405304702061 1877885044347 3478705082151 5441051538749 16323154616247 70733670003737 212201010011211