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211101111330021 = 32117272933059777
BaseRepresentation
bin101111111111111011001110…
…110000001010010011100101
31000200110001212102002111022200
4233333323032300022103211
5210132140034000030041
62024550302311445113
762315360221601643
oct5777731660122345
91020401772074280
10211101111330021
1161299529a51020
121b814987086799
1390a399850c3a3
143a1b4c3a68193
1519613573061b6
hexbffecec0a4e5

211101111330021 has 24 divisors (see below), whose sum is σ = 333101732867904. Its totient is φ = 127764083842560.

The previous prime is 211101111330001. The next prime is 211101111330029. The reversal of 211101111330021 is 120033111101112.

211101111330021 is a `hidden beast` number, since 211 + 10 + 1 + 111 + 330 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 211101111330021 - 211 = 211101111327973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211101111329976 and 211101111330003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101111330029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1466457916 + ... + 1466601861.

It is an arithmetic number, because the mean of its divisors is an integer number (13879238869496).

Almost surely, 2211101111330021 is an apocalyptic number.

It is an amenable number.

211101111330021 is a deficient number, since it is larger than the sum of its proper divisors (122000621537883).

211101111330021 is a wasteful number, since it uses less digits than its factorization.

211101111330021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933060521 (or 2933060518 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 211101111330021 its reverse (120033111101112), we get a palindrome (331134222431133).

The spelling of 211101111330021 in words is "two hundred eleven trillion, one hundred one billion, one hundred eleven million, three hundred thirty thousand, twenty-one".

Divisors: 1 3 9 11 33 99 727 2181 6543 7997 23991 71973 2933059777 8799179331 26397537993 32263657547 96790972641 290372917923 2132334457879 6397003373637 19191010120911 23455679036669 70367037110007 211101111330021