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13022313302323 = 1329711049463781
BaseRepresentation
bin1011110101111111111001…
…0110111100100100110011
31201002220212101220201202001
42331133332112330210303
53201324144201133243
643410211304034431
72512555030502053
oct275377626744463
951086771821661
1013022313302323
114170806406016
12156398a462a17
13735cca6b4ba0
143303d763d563
15178b18550a4d
hexbd7fe5bc933

13022313302323 has 32 divisors (see below), whose sum is σ = 14726006064000. Its totient is φ = 11431694668800.

The previous prime is 13022313302311. The next prime is 13022313302357. The reversal of 13022313302323 is 32320331322031.

It is a cyclic number.

It is not a de Polignac number, because 13022313302323 - 25 = 13022313302291 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13022313302291 and 13022313302300.

It is not an unprimeable number, because it can be changed into a prime (13022313302363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27846693 + ... + 28310473.

It is an arithmetic number, because the mean of its divisors is an integer number (460187689500).

Almost surely, 213022313302323 is an apocalyptic number.

13022313302323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13022313302323 is a deficient number, since it is larger than the sum of its proper divisors (1703692761677).

13022313302323 is a wasteful number, since it uses less digits than its factorization.

13022313302323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464943.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 13022313302323 its reverse (32320331322031), we get a palindrome (45342644624354).

The spelling of 13022313302323 in words is "thirteen trillion, twenty-two billion, three hundred thirteen million, three hundred two thousand, three hundred twenty-three".

Divisors: 1 13 29 71 377 923 1049 2059 13637 26767 30421 74479 395473 463781 968227 2159891 6029153 13449649 28078583 32928451 174845437 428069863 486506269 954925079 6324581497 12414026027 14108681801 34541945099 183412863413 449045286287 1001716407871 13022313302323