Search a number
-
+
13301104444409 is a prime number
BaseRepresentation
bin1100000110001110011110…
…0110110000001111111001
31202002120110211122010221002
43001203213212300033321
53220411130214210114
644142235405454345
72541654524220425
oct301434746601771
952076424563832
1013301104444409
114268a6a777471
1215a9a14b713b5
1375639a562912
1433dac3b01b85
15180ed3ca87de
hexc18e79b03f9

13301104444409 has 2 divisors, whose sum is σ = 13301104444410. Its totient is φ = 13301104444408.

The previous prime is 13301104444367. The next prime is 13301104444421. The reversal of 13301104444409 is 90444440110331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9346685845225 + 3954418599184 = 3057235^2 + 1988572^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301104444409 - 232 = 13296809477113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13301104444469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650552222204 + 6650552222205.

It is an arithmetic number, because the mean of its divisors is an integer number (6650552222205).

Almost surely, 213301104444409 is an apocalyptic number.

It is an amenable number.

13301104444409 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301104444409 is an equidigital number, since it uses as much as digits as its factorization.

13301104444409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 13301104444409 in words is "thirteen trillion, three hundred one billion, one hundred four million, four hundred forty-four thousand, four hundred nine".