Search a number
-
+
211302132011331 = 3794284120811143
BaseRepresentation
bin110000000010110110011100…
…100001001101000101000011
31000201011021201212222011100120
4300002312130201031011003
5210143433231243330311
62025222505342351323
762336034545314134
oct6002663441150503
91021137655864316
10211302132011331
1161366804981199
121b84792858b543
1390b9923129caa
143a2711351bc8b
1519666c0194706
hexc02d9c84d143

211302132011331 has 16 divisors (see below), whose sum is σ = 285309129999360. Its totient is φ = 139081694431680.

The previous prime is 211302132011297. The next prime is 211302132011437. The reversal of 211302132011331 is 133110231203112.

It is not a de Polignac number, because 211302132011331 - 219 = 211302131487043 is a prime.

It is a super-3 number, since 3×2113021320113313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (211302132016331) 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, 252255 + ... + 20558888.

It is an arithmetic number, because the mean of its divisors is an integer number (17831820624960).

Almost surely, 2211302132011331 is an apocalyptic number.

211302132011331 is a deficient number, since it is larger than the sum of its proper divisors (74006997988029).

211302132011331 is a wasteful number, since it uses less digits than its factorization.

211302132011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20854066.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 211302132011331 its reverse (133110231203112), we get a palindrome (344412363214443).

The spelling of 211302132011331 in words is "two hundred eleven trillion, three hundred two billion, one hundred thirty-two million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 79 237 42841 128523 3384439 10153317 20811143 62433429 1644080297 4932240891 891570177263 2674710531789 70434044003777 211302132011331