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13300403431221 = 327327175779859
BaseRepresentation
bin1100000110001011110111…
…0100100110011100110101
31202002111122222112222121200
43001202331310212130311
53220403211234244341
644142042044403113
72541631252546254
oct301427564463465
952074588488550
1013300403431221
11426873aaa5925
1215a985a246499
137562b825a30a
1433da5898279b
15180e92485db6
hexc18bdd26735

13300403431221 has 48 divisors (see below), whose sum is σ = 19551293349120. Its totient is φ = 8711166021120.

The previous prime is 13300403431187. The next prime is 13300403431321. The reversal of 13300403431221 is 12213430400331.

It is a happy number.

13300403431221 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 4 + 0 + 3 + 431 + 221 = 666.

It is not a de Polignac number, because 13300403431221 - 227 = 13300269213493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300403431321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1349057190 + ... + 1349067048.

It is an arithmetic number, because the mean of its divisors is an integer number (407318611440).

Almost surely, 213300403431221 is an apocalyptic number.

It is an amenable number.

13300403431221 is a deficient number, since it is larger than the sum of its proper divisors (6250889917899).

13300403431221 is a wasteful number, since it uses less digits than its factorization.

13300403431221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17786 (or 17783 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13300403431221 its reverse (12213430400331), we get a palindrome (25513833831552).

The spelling of 13300403431221 in words is "thirteen trillion, three hundred billion, four hundred three million, four hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 73 219 271 657 813 2439 7577 9859 19783 22731 29577 59349 68193 88731 178047 553121 719707 1659363 2053367 2159121 2671789 4978089 6160101 6477363 8015367 18480303 24046101 74701643 149895791 195040597 224104929 449687373 585121791 672314787 1349062119 1755365373 5453219939 16359659817 20244145253 49078979451 60732435759 182197307277 1477822603469 4433467810407 13300403431221