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13317727041 = 327320270513
BaseRepresentation
bin11000110011100110…
…00110001101000001
31021101010122122000200
430121303012031001
5204233314231131
610041301035413
7651011545353
oct143163061501
937333578020
1013317727041
115714567493
1226b80b5b69
131343168478
14904a350d3
1552e2b32e6
hex319cc6341

13317727041 has 12 divisors (see below), whose sum is σ = 19500234468. Its totient is φ = 8756861184.

The previous prime is 13317727037. The next prime is 13317727079. The reversal of 13317727041 is 14072771331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10096029441 + 3221697600 = 100479^2 + 56760^2 .

It is not a de Polignac number, because 13317727041 - 22 = 13317727037 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13317726987 and 13317727005.

It is not an unprimeable number, because it can be changed into a prime (13317727001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10134600 + ... + 10135913.

It is an arithmetic number, because the mean of its divisors is an integer number (1625019539).

Almost surely, 213317727041 is an apocalyptic number.

It is an amenable number.

13317727041 is a deficient number, since it is larger than the sum of its proper divisors (6182507427).

13317727041 is a wasteful number, since it uses less digits than its factorization.

13317727041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20270592 (or 20270589 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 13317727041 in words is "thirteen billion, three hundred seventeen million, seven hundred twenty-seven thousand, forty-one".

Divisors: 1 3 9 73 219 657 20270513 60811539 182434617 1479747449 4439242347 13317727041