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300221231323129 is a prime number
BaseRepresentation
bin100010001000011001011001…
…1110110001101011111111001
31110100222212110210201020101121
41010100302303312031133321
5303322311040204320004
62542303421335145241
7120144160661625244
oct10420626366153771
91410885423636347
10300221231323129
118772912236aa66
1229808a76b15221
13cb6998223c38c
14541cadc56425b
1524a969abc5854
hex1110cb3d8d7f9

300221231323129 has 2 divisors, whose sum is σ = 300221231323130. Its totient is φ = 300221231323128.

The previous prime is 300221231323043. The next prime is 300221231323133. The reversal of 300221231323129 is 921323132122003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 297417790098025 + 2803441225104 = 17245805^2 + 1674348^2 .

It is a cyclic number.

It is not a de Polignac number, because 300221231323129 - 213 = 300221231314937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300221231323094 and 300221231323103.

It is not a weakly prime, because it can be changed into another prime (300221231323829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150110615661564 + 150110615661565.

It is an arithmetic number, because the mean of its divisors is an integer number (150110615661565).

Almost surely, 2300221231323129 is an apocalyptic number.

It is an amenable number.

300221231323129 is a deficient number, since it is larger than the sum of its proper divisors (1).

300221231323129 is an equidigital number, since it uses as much as digits as its factorization.

300221231323129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 300221231323129 in words is "three hundred trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty-nine".