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211301320120101 = 3313956301977117
BaseRepresentation
bin110000000010110101101100…
…001000000101011100100101
31000201011012122022020210222000
4300002311230020011130211
5210143430100422320401
62025222253020555513
762336005456333251
oct6002655410053445
91021135568223860
10211301320120101
1161366428659302
121b8477406b2b99
1390b9823b72793
143a27077779261
151966673c6e186
hexc02d6c205725

211301320120101 has 16 divisors (see below), whose sum is σ = 315291071860800. Its totient is φ = 139854111156144.

The previous prime is 211301320120027. The next prime is 211301320120103. The reversal of 211301320120101 is 101021023103112.

211301320120101 is a `hidden beast` number, since 2 + 11 + 301 + 320 + 1 + 20 + 10 + 1 = 666.

It is not a de Polignac number, because 211301320120101 - 226 = 211301253011237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301320120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28150984806 + ... + 28150992311.

It is an arithmetic number, because the mean of its divisors is an integer number (19705691991300).

Almost surely, 2211301320120101 is an apocalyptic number.

It is an amenable number.

211301320120101 is a deficient number, since it is larger than the sum of its proper divisors (103989751740699).

211301320120101 is a wasteful number, since it uses less digits than its factorization.

211301320120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56301977265 (or 56301977259 counting only the distinct ones).

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

Adding to 211301320120101 its reverse (101021023103112), we get a palindrome (312322343223213).

The spelling of 211301320120101 in words is "two hundred eleven trillion, three hundred one billion, three hundred twenty million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 27 139 417 1251 3753 56301977117 168905931351 506717794053 1520153382159 7825974819263 23477924457789 70433773373367 211301320120101