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11331121212321 = 3131811206917183
BaseRepresentation
bin1010010011100011101101…
…1101000110101110100001
31111010020121022122002120220
42210320323131012232201
52441122114012243241
640033240100153253
72246434514066301
oct244707335065641
944106538562526
1011331121212321
113679557582699
121330069698829
1364269b9b48a1
142b26019c3601
15149b36118166
hexa4e3b746ba1

11331121212321 has 32 divisors (see below), whose sum is σ = 15250516807680. Its totient is φ = 7483118385600.

The previous prime is 11331121212289. The next prime is 11331121212353. The reversal of 11331121212321 is 12321212113311.

It is an interprime number because it is at equal distance from previous prime (11331121212289) and next prime (11331121212353).

It is not a de Polignac number, because 11331121212321 - 25 = 11331121212289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331121212291 and 11331121212300.

It is not an unprimeable number, because it can be changed into a prime (11331121212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659429296 + ... + 659446478.

It is an arithmetic number, because the mean of its divisors is an integer number (476578650240).

Almost surely, 211331121212321 is an apocalyptic number.

It is an amenable number.

11331121212321 is a deficient number, since it is larger than the sum of its proper divisors (3919395595359).

11331121212321 is a wasteful number, since it uses less digits than its factorization.

11331121212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20197.

The product of its digits is 432, while the sum is 24.

Adding to 11331121212321 its reverse (12321212113311), we get a palindrome (23652333325632).

The spelling of 11331121212321 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 131 393 811 2069 2433 6207 17183 51549 106241 271039 318723 813117 1677959 2250973 5033877 6752919 13935413 35551627 41806239 106654881 219812629 659437887 1825539103 4657263137 5476617309 13971789411 28832369497 86497108491 3777040404107 11331121212321