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13320103304040 = 23351343198570413
BaseRepresentation
bin1100000111010101010000…
…0001101001101101101000
31202011101111220100012202220
43001311110001221231220
53221214032421212130
644155100533154040
72543226401653641
oct301652401515550
952141456305686
1013320103304040
11427602a073955
1215b163778b920
137581076c12b0
143409a70606c8
15181746bba410
hexc1d54069b68

13320103304040 has 128 divisors (see below), whose sum is σ = 44034975008640. Its totient is φ = 3202543604736.

The previous prime is 13320103304029. The next prime is 13320103304063. The reversal of 13320103304040 is 4040330102331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13320103304040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99218127 + ... + 99352286.

It is an arithmetic number, because the mean of its divisors is an integer number (344023242255).

Almost surely, 213320103304040 is an apocalyptic number.

13320103304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320103304040 is an abundant number, since it is smaller than the sum of its proper divisors (30714871704600).

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

13320103304040 is a wasteful number, since it uses less digits than its factorization.

13320103304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198570483 (or 198570479 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13320103304040 its reverse (4040330102331), we get a palindrome (17360433406371).

The spelling of 13320103304040 in words is "thirteen trillion, three hundred twenty billion, one hundred three million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1560 1677 1720 2236 2580 2795 3354 4472 5160 5590 6708 8385 11180 13416 16770 22360 33540 67080 198570413 397140826 595711239 794281652 992852065 1191422478 1588563304 1985704130 2382844956 2581415369 2978556195 3971408260 4765689912 5162830738 5957112390 7744246107 7942816520 8538527759 10325661476 11914224780 12907076845 15488492214 17077055518 20651322952 23828449560 25615583277 25814153690 30976984428 34154111036 38721230535 42692638795 51231166554 51628307380 61953968856 68308222072 77442461070 85385277590 102462333108 103256614760 111000860867 128077916385 154884922140 170770555180 204924666216 222001721734 256155832770 309769844280 333002582601 341541110360 444003443468 512311665540 555004304335 666005165202 888006886936 1024623331080 1110008608670 1332010330404 1665012913005 2220017217340 2664020660808 3330025826010 4440034434680 6660051652020 13320103304040