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13331014404021 = 34412149657089
BaseRepresentation
bin1100000111111101111001…
…1000001100011110110101
31202012102200022111112010000
43001333132120030132311
53221403404141412041
644204103344021513
72544063651535026
oct301773630143665
952172608445100
1013331014404021
11427a719101856
1215b3781901899
13759156090582
143413201ccc4d
15181b84a48bb6
hexc1fde60c7b5

13331014404021 has 60 divisors (see below), whose sum is σ = 20548814170500. Its totient is φ = 8612373565440.

The previous prime is 13331014403981. The next prime is 13331014404031. The reversal of 13331014404021 is 12040441013331.

13331014404021 is a `hidden beast` number, since 133 + 3 + 101 + 4 + 404 + 0 + 21 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2730871926225 + 10600142477796 = 1652535^2 + 3255786^2 .

It is not a de Polignac number, because 13331014404021 - 214 = 13331014387637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331014404031) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19959445 + ... + 20616533.

It is an arithmetic number, because the mean of its divisors is an integer number (342480236175).

Almost surely, 213331014404021 is an apocalyptic number.

It is an amenable number.

13331014404021 is a deficient number, since it is larger than the sum of its proper divisors (7217799766479).

13331014404021 is an equidigital number, since it uses as much as digits as its factorization.

13331014404021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657332 (or 657282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13331014404021 its reverse (12040441013331), we get a palindrome (25371455417352).

The spelling of 13331014404021 in words is "thirteen trillion, three hundred thirty-one billion, fourteen million, four hundred four thousand, twenty-one".

Divisors: 1 3 9 27 41 81 123 149 369 447 1107 1341 1681 3321 4023 5043 6109 12069 15129 18327 45387 54981 136161 164943 250469 494829 657089 751407 1971267 2254221 5913801 6762663 17741403 20287989 26940649 53224209 80821947 97906261 242465841 293718783 727397523 881156349 1104566609 2182192569 2643469047 3313699827 4014156701 7930407141 9941099481 12042470103 29823298443 36127410309 89469895329 108382230927 164580424741 325146692781 493741274223 1481223822669 4443671468007 13331014404021