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212234040312201 = 3337479746599361
BaseRepresentation
bin110000010000011010010110…
…100101010000000110001001
31000211110101011011211212122000
4300100122112211100012021
5210304220303304442301
62031214545551421213
762463255240214665
oct6020322645200611
91024411134755560
10212234040312201
1161695a5090a776
121b978466824809
13915677942a0ab
143a5a27a5778a5
151980a63ae7786
hexc10696950189

212234040312201 has 64 divisors (see below), whose sum is σ = 333189166248960. Its totient is φ = 133347237396480.

The previous prime is 212234040312181. The next prime is 212234040312223. The reversal of 212234040312201 is 102213040432212.

212234040312201 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 3 + 40 + 403 + 12 + 201 = 666.

It is not a de Polignac number, because 212234040312201 - 211 = 212234040310153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212235040312201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18745240 + ... + 27854121.

It is an arithmetic number, because the mean of its divisors is an integer number (5206080722640).

Almost surely, 2212234040312201 is an apocalyptic number.

It is an amenable number.

212234040312201 is a deficient number, since it is larger than the sum of its proper divisors (120955125936759).

212234040312201 is a wasteful number, since it uses less digits than its factorization.

212234040312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46599551 (or 46599545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212234040312201 its reverse (102213040432212), we get a palindrome (314447080744413).

The spelling of 212234040312201 in words is "two hundred twelve trillion, two hundred thirty-four billion, forty million, three hundred twelve thousand, two hundred one".

Divisors: 1 3 9 27 37 47 97 111 141 291 333 423 873 999 1269 1739 2619 3589 4559 5217 10767 13677 15651 32301 41031 46953 96903 123093 168683 506049 1518147 4554441 46599361 139798083 419394249 1258182747 1724176357 2190169967 4520138017 5172529071 6570509901 13560414051 15517587213 19711529703 40681242153 46552761639 59134589109 81036288779 122043726459 167245106629 212446486799 243108866337 501735319887 637339460397 729326599011 1505205959661 1912018381191 2187979797033 4515617878983 5736055143573 7860520011563 23581560034689 70744680104067 212234040312201