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13300420031343 = 3310148717335779
BaseRepresentation
bin1100000110001011111011…
…0011111011001101101111
31202002111201010210100201000
43001202332303323031233
53220403230012000333
644142043440251343
72541631543625154
oct301427663731557
952074633710630
1013300420031343
114268749403835
1215a9863910b53
137562bb820083
1433da5ac6422b
15180e93b64713
hexc18becfb36f

13300420031343 has 64 divisors (see below), whose sum is σ = 19955238220800. Its totient is φ = 8754557500800.

The previous prime is 13300420031333. The next prime is 13300420031359. The reversal of 13300420031343 is 34313002400331.

13300420031343 is a `hidden beast` number, since 1 + 3 + 300 + 4 + 2 + 0 + 0 + 313 + 43 = 666.

It is not a de Polignac number, because 13300420031343 - 26 = 13300420031279 is a prime.

It is a super-3 number, since 3×133004200313433 (a number of 40 digits) contains 333 as substring.

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 (13300420031303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2301506028 + ... + 2301511806.

It is an arithmetic number, because the mean of its divisors is an integer number (311800597200).

Almost surely, 213300420031343 is an apocalyptic number.

13300420031343 is a deficient number, since it is larger than the sum of its proper divisors (6654818189457).

13300420031343 is a wasteful number, since it uses less digits than its factorization.

13300420031343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13300420031343 its reverse (34313002400331), we get a palindrome (47613422431674).

The spelling of 13300420031343 in words is "thirteen trillion, three hundred billion, four hundred twenty million, thirty-one thousand, three hundred forty-three".

Divisors: 1 3 9 27 101 303 487 909 1461 1733 2727 4383 5199 5779 13149 15597 17337 46791 49187 52011 147561 156033 175033 442683 525099 583679 843971 1328049 1575297 1751037 2531913 2814373 4725891 5253111 7595739 8443119 10015007 15759333 22787217 25329357 30045021 75988071 85241071 90135063 255723213 270405189 284251673 767169639 852755019 1011515707 2301508917 2558265057 3034547121 4877308409 7674795171 9103641363 14631925227 27310924089 43895775681 131687327043 492608149309 1477824447927 4433473343781 13300420031343