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13221434424303 = 3272932539282103
BaseRepresentation
bin1100000001100101101011…
…1001101111101111101111
31201210221211111102210020200
43000121122321233233233
53213104444203034203
644041502040444543
72533134320221350
oct300313271575757
951727744383220
1013221434424303
1142381a7061146
12159649b779753
1374ba118c46a1
14339cc6b01d27
1517ddbe76b9a3
hexc065ae6fbef

13221434424303 has 48 divisors (see below), whose sum is σ = 21909054236160. Its totient is φ = 7526327896512.

The previous prime is 13221434424271. The next prime is 13221434424371. The reversal of 13221434424303 is 30342443412231.

13221434424303 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 4 + 344 + 2 + 4 + 303 = 666.

It is not a de Polignac number, because 13221434424303 - 25 = 13221434424271 is a prime.

It is a super-2 number, since 2×132214344243032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221434424503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46726350 + ... + 47008452.

It is an arithmetic number, because the mean of its divisors is an integer number (456438629920).

Almost surely, 213221434424303 is an apocalyptic number.

13221434424303 is a deficient number, since it is larger than the sum of its proper divisors (8687619811857).

13221434424303 is a wasteful number, since it uses less digits than its factorization.

13221434424303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284948 (or 284945 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13221434424303 its reverse (30342443412231), we get a palindrome (43563877836534).

The spelling of 13221434424303 in words is "thirteen trillion, two hundred twenty-one billion, four hundred thirty-four million, four hundred twenty-four thousand, three hundred three".

Divisors: 1 3 7 9 21 63 293 879 2051 2539 2637 6153 7617 17773 18459 22851 53319 159957 282103 743927 846309 1974721 2231781 2538927 5207489 5924163 6695343 15622467 17772489 46867401 82656179 247968537 578593253 716259517 743905611 1735779759 2148778551 5013816619 5207339277 6446335653 15041449857 45124349571 209864038481 629592115443 1469048269367 1888776346329 4407144808101 13221434424303