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211132205991 = 33710939102121
BaseRepresentation
bin1100010010100001110…
…1011100101110100111
3202011222011111100021000
43010220131130232213
511424344321042431
6240554235524343
721153024066030
oct3045035345647
9664864440230
10211132205991
11815a4698343
1234b038b96b3
1316ba9755405
14a30c767a87
15575a92a9e6
hex312875cba7

211132205991 has 32 divisors (see below), whose sum is σ = 357508697600. Its totient is φ = 120634764480.

The previous prime is 211132205989. The next prime is 211132206083. The reversal of 211132205991 is 199502231112.

211132205991 is a `hidden beast` number, since 2 + 1 + 11 + 32 + 20 + 599 + 1 = 666.

It is not a de Polignac number, because 211132205991 - 21 = 211132205989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211132201991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016411 + ... + 2118531.

It is an arithmetic number, because the mean of its divisors is an integer number (11172146800).

Almost surely, 2211132205991 is an apocalyptic number.

211132205991 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211132205991 is a deficient number, since it is larger than the sum of its proper divisors (146376491609).

211132205991 is a wasteful number, since it uses less digits than its factorization.

211132205991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113076 (or 113070 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 211132205991 in words is "two hundred eleven billion, one hundred thirty-two million, two hundred five thousand, nine hundred ninety-one".

Divisors: 1 3 7 9 21 27 63 189 10939 32817 76573 98451 102121 229719 295353 306363 689157 714847 919089 2067471 2144541 2757267 6433623 19300869 1117101619 3351304857 7819711333 10053914571 23459133999 30161743713 70377401997 211132205991