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13321332221223 = 31317313717517443
BaseRepresentation
bin1100000111011001110101…
…0001100110010100100111
31202011111200112202200020010
43001312131101212110213
53221224042022034343
644155422513141303
72543302013410605
oct301663521462447
952144615680203
1013321332221223
1142765aa830594
1215b191b25a833
1375827219b920
14340a8235a875
151817b9a18d33
hexc1d9d466527

13321332221223 has 64 divisors (see below), whose sum is σ = 21471621599232. Its totient is φ = 7264833546240.

The previous prime is 13321332221213. The next prime is 13321332221231. The reversal of 13321332221223 is 32212223312331.

13321332221223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13321332221223 - 220 = 13321331172647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321332221203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7998261 + ... + 9519182.

It is an arithmetic number, because the mean of its divisors is an integer number (335494087488).

Almost surely, 213321332221223 is an apocalyptic number.

13321332221223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13321332221223 is a deficient number, since it is larger than the sum of its proper divisors (8150289378009).

13321332221223 is a wasteful number, since it uses less digits than its factorization.

13321332221223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17517544.

The product of its digits is 15552, while the sum is 30.

Adding to 13321332221223 its reverse (32212223312331), we get a palindrome (45533555533554).

The spelling of 13321332221223 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-two million, two hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 3 13 17 31 37 39 51 93 111 221 403 481 527 629 663 1147 1209 1443 1581 1887 3441 6851 8177 14911 19499 20553 24531 44733 58497 253487 760461 17517443 52552329 227726759 297796531 543040733 648145391 683180277 893389593 1629122199 1944436173 3871354903 7059529529 8425890083 9231692461 11018471647 11614064709 20092507121 21178588587 25277670249 27695077383 33055414941 60277521363 120012001993 143240131411 261202592573 341572621057 360036005979 429720394233 783607777719 1024717863171 4440444073741 13321332221223