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12821211101111 = 719321412999287
BaseRepresentation
bin1011101010010010101110…
…1110111011011110110111
31200101200210020122102102112
42322210223232323132313
53140030320020213421
643133552202001235
72462205364133330
oct272445356733667
950350706572375
1012821211101111
1140a3499466826
121530a057a621b
1372005bc2415a
1432479b009287
1517379845d45b
hexba92bbbb7b7

12821211101111 has 16 divisors (see below), whose sum is σ = 15424498383360. Its totient is φ = 10410881620320.

The previous prime is 12821211101107. The next prime is 12821211101131. The reversal of 12821211101111 is 11110111212821.

It is a cyclic number.

It is not a de Polignac number, because 12821211101111 - 22 = 12821211101107 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 (12821211101131) 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 15 ways as a sum of consecutive naturals, for example, 2775110 + ... + 5774396.

It is an arithmetic number, because the mean of its divisors is an integer number (964031148960).

Almost surely, 212821211101111 is an apocalyptic number.

12821211101111 is a deficient number, since it is larger than the sum of its proper divisors (2603287282249).

12821211101111 is a wasteful number, since it uses less digits than its factorization.

12821211101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031454.

The product of its (nonzero) digits is 64, while the sum is 23.

Adding to 12821211101111 its reverse (11110111212821), we get a palindrome (23931322313932).

The spelling of 12821211101111 in words is "twelve trillion, eight hundred twenty-one billion, two hundred eleven million, one hundred one thousand, one hundred eleven".

Divisors: 1 7 19 133 32141 224987 610679 2999287 4274753 20995009 56986453 398905171 96400083467 674800584269 1831601585873 12821211101111