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13742761321 is a prime number
BaseRepresentation
bin11001100110010000…
…11110010101101001
31022110202102121110001
430303020132111221
5211121121330241
610151403023001
7664362354352
oct146310362551
938422377401
1013742761321
115912480a93
1227b650aa61
1313b0233743
14945274d29
1555676e431
hex33321e569

13742761321 has 2 divisors, whose sum is σ = 13742761322. Its totient is φ = 13742761320.

The previous prime is 13742761289. The next prime is 13742761339. The reversal of 13742761321 is 12316724731.

13742761321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8942350096 + 4800411225 = 94564^2 + 69285^2 .

It is a cyclic number.

It is not a de Polignac number, because 13742761321 - 25 = 13742761289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13742761391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6871380660 + 6871380661.

It is an arithmetic number, because the mean of its divisors is an integer number (6871380661).

Almost surely, 213742761321 is an apocalyptic number.

It is an amenable number.

13742761321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13742761321 is an equidigital number, since it uses as much as digits as its factorization.

13742761321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 37.

The spelling of 13742761321 in words is "thirteen billion, seven hundred forty-two million, seven hundred sixty-one thousand, three hundred twenty-one".