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212301131200011 = 3273198343609789
BaseRepresentation
bin110000010001011000110101…
…100000101011011000001011
31000211200210022212012002210200
4300101120311200223120023
5210311320204041400021
62031305443202143243
762501151641313000
oct6021306540533013
91024623285162720
10212301131200011
1161711449979797
121b98946b351b23
13915cbabc63289
143a5d602a858a7
15198268db19126
hexc1163582b60b

212301131200011 has 96 divisors (see below), whose sum is σ = 380975125440000. Its totient is φ = 113545235063232.

The previous prime is 212301131200009. The next prime is 212301131200051. The reversal of 212301131200011 is 110002131103212.

212301131200011 is a `hidden beast` number, since 21 + 2 + 301 + 131 + 200 + 0 + 11 = 666.

It is not a de Polignac number, because 212301131200011 - 21 = 212301131200009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212301131200051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16936696 + ... + 26673093.

It is an arithmetic number, because the mean of its divisors is an integer number (3968490890000).

Almost surely, 2212301131200011 is an apocalyptic number.

212301131200011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212301131200011 is a deficient number, since it is larger than the sum of its proper divisors (168673994239989).

212301131200011 is a wasteful number, since it uses less digits than its factorization.

212301131200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43609918 (or 43609901 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212301131200011 its reverse (110002131103212), we get a palindrome (322303262303223).

The spelling of 212301131200011 in words is "two hundred twelve trillion, three hundred one billion, one hundred thirty-one million, two hundred thousand, eleven".

Divisors: 1 3 7 9 19 21 49 57 63 83 133 147 171 249 343 399 441 581 747 931 1029 1197 1577 1743 2793 3087 4067 4731 5229 6517 8379 11039 12201 14193 19551 28469 33117 36603 58653 77273 85407 99351 231819 256221 540911 695457 1622733 4868199 43609789 130829367 305268523 392488101 828585991 915805569 2136879661 2485757973 2747416707 3619612487 5800101937 6410638983 7457273919 10858837461 14958157627 17400305811 19231916949 25337287409 32576512383 40600713559 44874472881 52200917433 68772637253 76011862227 121802140677 134623418643 177361011863 206317911759 228035586681 284204994913 365406422031 481408460771 532083035589 618953735277 852614984739 1241527083041 1444225382313 1596249106767 2557844954217 3369859225397 3724581249123 4332676146939 10109577676191 11173743747369 23589014577779 30328733028573 70767043733337 212301131200011