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211311010020231 = 33113127827824779
BaseRepresentation
bin110000000010111110101101…
…101100000111101110000111
31000201012010122121111202001000
4300002332231230013232013
5210144104422031121411
62025230534325104343
762336500550202042
oct6002765554075607
91021163577452030
10211311010020231
116136a550320730
121b8495a58580b3
1390ba709536cb4
143a27716659c59
151966a3e7c5956
hexc02fadb07b87

211311010020231 has 64 divisors (see below), whose sum is σ = 352542379622400. Its totient is φ = 123931472191200.

The previous prime is 211311010020221. The next prime is 211311010020317. The reversal of 211311010020231 is 132020010113112.

211311010020231 is a `hidden beast` number, since 2 + 1 + 1 + 311 + 0 + 100 + 20 + 231 = 666.

It is not a de Polignac number, because 211311010020231 - 233 = 211302420085639 is a prime.

It is a super-2 number, since 2×2113110100202312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311010020221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255790800 + ... + 256615578.

It is an arithmetic number, because the mean of its divisors is an integer number (5508474681600).

Almost surely, 2211311010020231 is an apocalyptic number.

211311010020231 is a deficient number, since it is larger than the sum of its proper divisors (141231369602169).

211311010020231 is a wasteful number, since it uses less digits than its factorization.

211311010020231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852657 (or 852651 counting only the distinct ones).

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

Adding to 211311010020231 its reverse (132020010113112), we get a palindrome (343331020133343).

The spelling of 211311010020231 in words is "two hundred eleven trillion, three hundred eleven billion, ten million, twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 9207 27827 83481 250443 306097 751329 824779 862637 918291 2474337 2587911 2754873 7423011 7763733 8264619 9072569 9489007 22269033 23291199 25568149 27217707 28467021 76704447 81653121 85401063 230113341 244959363 256203189 281249639 690340023 843748917 2531246751 7593740253 22951125233 68853375699 206560127097 252462377563 619680381291 711484882223 757387132689 2134454646669 2272161398067 6403363940007 6816484194201 7826333704453 19210091820021 23479001113359 70437003340077 211311010020231