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212132212013103 = 313918612011135929
BaseRepresentation
bin110000001110111011100001…
…001001000111100000101111
31000211002122022120221022111220
4300032323201021013200233
5210301033232233404403
62031100105353514423
762453021653026264
oct6016734111074057
91024078276838456
10212132212013103
1161656847451488
121b960788712a13
139149c9bbcc885
143a5537a79526b
15197d0a4114953
hexc0eee124782f

212132212013103 has 32 divisors (see below), whose sum is σ = 285174702355200. Its totient is φ = 140257796140800.

The previous prime is 212132212013081. The next prime is 212132212013143. The reversal of 212132212013103 is 301310212231212.

It is not a de Polignac number, because 212132212013103 - 26 = 212132212013039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132212013143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560542443 + ... + 1560678371.

It is an arithmetic number, because the mean of its divisors is an integer number (8911709448600).

Almost surely, 2212132212013103 is an apocalyptic number.

212132212013103 is a deficient number, since it is larger than the sum of its proper divisors (73042490342097).

212132212013103 is a wasteful number, since it uses less digits than its factorization.

212132212013103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139943.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212132212013103 its reverse (301310212231212), we get a palindrome (513442424244315).

The spelling of 212132212013103 in words is "two hundred twelve trillion, one hundred thirty-two billion, two hundred twelve million, thirteen thousand, one hundred three".

Divisors: 1 3 139 417 1861 2011 5583 6033 135929 258679 279529 407787 776037 838587 3742471 11227413 18894131 56682393 252963869 273353219 520203469 758891607 820059657 1560610407 35161977791 37996097441 105485933373 113988292323 508710340559 1526131021677 70710737337701 212132212013103