Search a number
-
+
13300320128729 is a prime number
BaseRepresentation
bin1100000110001011100011…
…0110110100111011011001
31202002111110011210210002012
43001202320312310323121
53220403023423104404
644142025511115305
72541626221516664
oct301427066647331
952074404723065
1013300320128729
1142686a7a79497
1215a9836372b35
137562a3c119ba
1433da4b89a6db
15180e89ecda6e
hexc18b8db4ed9

13300320128729 has 2 divisors, whose sum is σ = 13300320128730. Its totient is φ = 13300320128728.

The previous prime is 13300320128713. The next prime is 13300320128737. The reversal of 13300320128729 is 92782102300331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11747255840329 + 1553064288400 = 3427427^2 + 1246220^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300320128729 - 24 = 13300320128713 is a prime.

It is not a weakly prime, because it can be changed into another prime (13300320128759) 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, 6650160064364 + 6650160064365.

It is an arithmetic number, because the mean of its divisors is an integer number (6650160064365).

Almost surely, 213300320128729 is an apocalyptic number.

It is an amenable number.

13300320128729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300320128729 is an equidigital number, since it uses as much as digits as its factorization.

13300320128729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 13300320128729 in words is "thirteen trillion, three hundred billion, three hundred twenty million, one hundred twenty-eight thousand, seven hundred twenty-nine".