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13313300313141 = 3567817720061
BaseRepresentation
bin1100000110111011111010…
…0010010011010000110101
31202010201221210022110200000
43001232332202103100311
53221111114340010031
644152013513341513
72542565664334143
oct301567642232065
952121853273600
1013313300313141
114273158a4a124
1215b0259407899
137575921661aa
1434051d748593
151814998193e6
hexc1bbe893435

13313300313141 has 24 divisors (see below), whose sum is σ = 20240206974624. Its totient is φ = 8743062881520.

The previous prime is 13313300313059. The next prime is 13313300313169. The reversal of 13313300313141 is 14131300331331.

13313300313141 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 300 + 313 + 1 + 41 = 666.

13313300313141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13313300313141 - 217 = 13313300182069 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 (13313300353141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408843750 + ... + 408876311.

It is an arithmetic number, because the mean of its divisors is an integer number (843341957276).

Almost surely, 213313300313141 is an apocalyptic number.

It is an amenable number.

13313300313141 is a deficient number, since it is larger than the sum of its proper divisors (6926906661483).

13313300313141 is an frugal number, since it uses more digits than its factorization.

13313300313141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817720143 (or 817720131 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13313300313141 its reverse (14131300331331), we get a palindrome (27444600644472).

The spelling of 13313300313141 in words is "thirteen trillion, three hundred thirteen billion, three hundred million, three hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 67 81 201 243 603 1809 5427 16281 817720061 2453160183 7359480549 22078441647 54787244087 66235324941 164361732261 198705974823 493085196783 1479255590349 4437766771047 13313300313141