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212201202210201 = 3443536831683053
BaseRepresentation
bin110000001111111011110001…
…010001110101010110011001
31000211100020101122011110020000
4300033323301101311112121
5210303201030231211301
62031151515253123213
762461013416026201
oct6017736121652631
91024306348143200
10212201202210201
116168302a6346a6
121b972021329509
1391536450870c9
143a5884322b401
15197ec90c59786
hexc0fef1475599

212201202210201 has 80 divisors (see below), whose sum is σ = 330967964264256. Its totient is φ = 135371830898304.

The previous prime is 212201202210061. The next prime is 212201202210229. The reversal of 212201202210201 is 102012202102212.

It is a happy number.

212201202210201 is a `hidden beast` number, since 2 + 1 + 220 + 1 + 20 + 221 + 0 + 201 = 666.

It is not a de Polignac number, because 212201202210201 - 214 = 212201202193817 is a prime.

It is a super-2 number, since 2×2122012022102012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212201202210281) 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, 125239591 + ... + 126922643.

Almost surely, 2212201202210201 is an apocalyptic number.

It is an amenable number.

212201202210201 is a deficient number, since it is larger than the sum of its proper divisors (118766762054055).

212201202210201 is a wasteful number, since it uses less digits than its factorization.

212201202210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683844 (or 1683835 counting only the distinct ones).

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

Adding to 212201202210201 its reverse (102012202102212), we get a palindrome (314213404312413).

The spelling of 212201202210201 in words is "two hundred twelve trillion, two hundred one billion, two hundred two million, two hundred ten thousand, two hundred one".

Divisors: 1 3 9 27 43 53 81 129 159 387 477 683 1161 1431 2049 2279 3483 4293 6147 6837 18441 20511 29369 36199 55323 61533 88107 108597 184599 264321 325791 792963 977373 1556557 1683053 2378889 2932119 4669671 5049159 14009013 15147477 42027039 45442431 72371279 89201809 126081117 136327293 217113837 267605427 651341511 802816281 1149525199 1954024533 2408448843 3448575597 3835677787 5862073599 7225346529 10345726791 11507033361 31037180373 34521100083 49429583557 60924835547 93111541119 103563300249 148288750671 182774506641 310689900747 444866252013 548323519923 1334598756039 1644970559769 2619767928521 4003796268117 4934911679307 7859303785563 23577911356689 70733734070067 212201202210201