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13201013120323 = 723834409159541
BaseRepresentation
bin1100000000011001100110…
…1100101001110101000011
31201202000010022011001120211
43000012121230221311003
53212241133324322243
644024243421214551
72531512261053100
oct300063154516503
951660108131524
1013201013120323
11422a577836216
121592540701457
13749b08b59672
14338d0a8abaa7
1517d5c6a2ed9d
hexc0199b29d43

13201013120323 has 24 divisors (see below), whose sum is σ = 15399963855360. Its totient is φ = 11282980222080.

The previous prime is 13201013120279. The next prime is 13201013120381. The reversal of 13201013120323 is 32302131010231.

It is a de Polignac number, because none of the positive numbers 2k-13201013120323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13201013120294 and 13201013120303.

It is not an unprimeable number, because it can be changed into a prime (13201013124323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82663933 + ... + 82823473.

It is an arithmetic number, because the mean of its divisors is an integer number (641665160640).

Almost surely, 213201013120323 is an apocalyptic number.

13201013120323 is a deficient number, since it is larger than the sum of its proper divisors (2198950735037).

13201013120323 is a wasteful number, since it uses less digits than its factorization.

13201013120323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164347 (or 164340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13201013120323 its reverse (32302131010231), we get a palindrome (45503144130554).

The spelling of 13201013120323 in words is "thirteen trillion, two hundred one billion, thirteen million, one hundred twenty thousand, three hundred twenty-three".

Divisors: 1 7 49 383 2681 4409 18767 30863 159541 216041 1116787 1688647 7817509 11820529 61104203 82743703 427729421 703416269 2994105947 4923913883 34467397181 269408431027 1885859017189 13201013120323