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13212313011221 = 177135331009651
BaseRepresentation
bin1100000001000011101100…
…1110010100010000010101
31201210002021210212222210112
43000100323032110100111
53212432304112324341
644033353001132405
72532362301412322
oct300207316242025
951702253788715
1013212313011221
114234346283525
121594774a8a105
1374abb9c4423c
1433969d523b49
1517da38aaaaeb
hexc043b394415

13212313011221 has 16 divisors (see below), whose sum is σ = 14226732183168. Its totient is φ = 12225244416000.

The previous prime is 13212313011203. The next prime is 13212313011229. The reversal of 13212313011221 is 12211031321231.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13212313011221 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 (13212313011229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15078755 + ... + 15930896.

It is an arithmetic number, because the mean of its divisors is an integer number (889170761448).

Almost surely, 213212313011221 is an apocalyptic number.

It is an amenable number.

13212313011221 is a deficient number, since it is larger than the sum of its proper divisors (1014419171947).

13212313011221 is a wasteful number, since it uses less digits than its factorization.

13212313011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31010092.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13212313011221 its reverse (12211031321231), we get a palindrome (25423344332452).

The spelling of 13212313011221 in words is "thirteen trillion, two hundred twelve billion, three hundred thirteen million, eleven thousand, two hundred twenty-one".

Divisors: 1 17 71 353 1207 6001 25063 426071 31009651 527164067 2201685221 10946406803 37428648757 186088915651 777194883013 13212313011221