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211132122230112 = 2534153641291217
BaseRepresentation
bin110000000000011000000111…
…001001010110110101100000
31000200120000220121120102220220
4300000120013021112311200
5210133142041242330422
62025012431415003040
762320535545110246
oct6000300711266540
91020500817512826
10211132122230112
11613006a2883276
121b81a9a0669480
1390a689b159b05
143a1cbc645a796
15196206ea65e5c
hexc00607256d60

211132122230112 has 48 divisors (see below), whose sum is σ = 567739426251312. Its totient is φ = 68660852756480.

The previous prime is 211132122230089. The next prime is 211132122230131. The reversal of 211132122230112 is 211032221231112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26820641673 + ... + 26820649544.

It is an arithmetic number, because the mean of its divisors is an integer number (11827904713569).

Almost surely, 2211132122230112 is an apocalyptic number.

It is an amenable number.

211132122230112 is an abundant number, since it is smaller than the sum of its proper divisors (356607304021200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211132122230112 is a wasteful number, since it uses less digits than its factorization.

211132122230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53641291271 (or 53641291263 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211132122230112 its reverse (211032221231112), we get a palindrome (422164343461224).

The spelling of 211132122230112 in words is "two hundred eleven trillion, one hundred thirty-two billion, one hundred twenty-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 53641291217 107282582434 160923873651 214565164868 321847747302 429130329736 643695494604 858260659472 1287390989208 1716521318944 2199292939897 2574781978416 4398585879794 5149563956832 6597878819691 8797171759588 13195757639382 17594343519176 26391515278764 35188687038352 52783030557528 70377374076704 105566061115056 211132122230112