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13321241242204 = 22717193019487889
BaseRepresentation
bin1100000111011001011111…
…0110100010101001011100
31202011111110012120110110211
43001312113312202221130
53221223400224222304
644155405503142204
72543266530166630
oct301662766425134
952144405513424
1013321241242204
114276563440715
1215b18b48a4964
1375825939619c
14340a74236dc0
151817b1a47204
hexc1d97da2a5c

13321241242204 has 96 divisors (see below), whose sum is σ = 29704304448000. Its totient is φ = 5088773320704.

The previous prime is 13321241242189. The next prime is 13321241242213. The reversal of 13321241242204 is 40224214212331.

It is a congruent number.

It is an unprimeable number.

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, 27059892 + ... + 27547780.

It is an arithmetic number, because the mean of its divisors is an integer number (309419838000).

Almost surely, 213321241242204 is an apocalyptic number.

13321241242204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321241242204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852152224000).

13321241242204 is an abundant number, since it is smaller than the sum of its proper divisors (16383063205796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13321241242204 is a wasteful number, since it uses less digits than its factorization.

13321241242204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490955 (or 490953 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 13321241242204 its reverse (40224214212331), we get a palindrome (53545455454535).

The spelling of 13321241242204 in words is "thirteen trillion, three hundred twenty-one billion, two hundred forty-one million, two hundred forty-two thousand, two hundred four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 3019 4522 6038 9044 12076 21133 42266 51323 57361 84532 102646 114722 205292 229444 359261 401527 487889 718522 803054 975137 975778 1437044 1606108 1950274 1951556 3415223 3900548 6825959 6830446 8294113 9269891 13651918 13660892 16588226 18539782 27303836 33176452 37079564 58058791 64889237 116117582 129778474 157588147 232235164 259556948 315176294 630352588 1103117029 1472936891 2206234058 2945873782 4412468116 5891747564 10310558237 20621116474 25039927147 27985800929 41242232948 50079854294 55971601858 100159708588 111943203716 175279490029 195900606503 350558980058 391801213006 475758615793 701117960116 783602426012 951517231586 1903034463172 3330310310551 6660620621102 13321241242204