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211001311323 = 3211291091315147
BaseRepresentation
bin1100010010000010101…
…0001000000001011011
3202011122001012012112100
43010200222020001123
511424112313430243
6240533242214443
721146544360645
oct3044052100133
9664561165470
10211001311323
1181537815230
1234a87ab4423
1316b885b564a
14a2d9213895
15574e1c20d3
hex3120a8805b

211001311323 has 96 divisors (see below), whose sum is σ = 349825132800. Its totient is φ = 121379731200.

The previous prime is 211001311321. The next prime is 211001311333. The reversal of 211001311323 is 323113100112.

211001311323 is a `hidden beast` number, since 21 + 10 + 0 + 1 + 311 + 323 = 666.

It is not a de Polignac number, because 211001311323 - 21 = 211001311321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211001311296 and 211001311305.

It is not an unprimeable number, because it can be changed into a prime (211001311321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40992436 + ... + 40997582.

It is an arithmetic number, because the mean of its divisors is an integer number (3644011800).

Almost surely, 2211001311323 is an apocalyptic number.

211001311323 is a deficient number, since it is larger than the sum of its proper divisors (138823821477).

211001311323 is a wasteful number, since it uses less digits than its factorization.

211001311323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211001311323 its reverse (323113100112), we get a palindrome (534114411435).

The spelling of 211001311323 in words is "two hundred eleven billion, one million, three hundred eleven thousand, three hundred twenty-three".

Divisors: 1 3 9 11 29 33 87 99 109 131 261 319 327 393 957 981 1179 1199 1441 2871 3161 3597 3799 4323 5147 9483 10791 11397 12969 14279 15441 28449 34191 34771 41789 42837 46323 56617 104313 125367 128511 149263 157069 169851 312939 376101 414091 447789 471207 509553 561023 674257 1242273 1343367 1413621 1641893 1683069 2022771 3726819 4555001 4925679 5049207 6068313 6171253 7416827 13665003 14777037 16269667 18513759 19553453 22250481 40995009 48809001 55541277 58660359 66751443 73494013 146427003 175981077 178966337 215087983 220482039 536899011 645263949 661446117 808434143 1610697033 1935791847 2131326377 2425302429 6393979131 7275907287 19181937393 23444590147 70333770441 211001311323