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13300221329 is a prime number
BaseRepresentation
bin11000110001100000…
…10100010110010001
31021022220201020200222
430120300110112101
5204214324040304
610035433522425
7650410005323
oct143060242621
937286636628
1013300221329
1157056a015a
1226b2273415
13133c649465
14902599613
1552c9a64be
hex318c14591

13300221329 has 2 divisors, whose sum is σ = 13300221330. Its totient is φ = 13300221328.

The previous prime is 13300221299. The next prime is 13300221359. The reversal of 13300221329 is 92312200331.

It is a balanced prime because it is at equal distance from previous prime (13300221299) and next prime (13300221359).

It can be written as a sum of positive squares in only one way, i.e., 11438730304 + 1861491025 = 106952^2 + 43145^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300221329 - 28 = 13300221073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300221298 and 13300221307.

It is not a weakly prime, because it can be changed into another prime (13300221359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650110664 + 6650110665.

It is an arithmetic number, because the mean of its divisors is an integer number (6650110665).

Almost surely, 213300221329 is an apocalyptic number.

It is an amenable number.

13300221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300221329 is an equidigital number, since it uses as much as digits as its factorization.

13300221329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 13300221329 in words is "thirteen billion, three hundred million, two hundred twenty-one thousand, three hundred twenty-nine".