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301131221329 is a prime number
BaseRepresentation
bin1000110000111001101…
…00011100100101010001
31001210021100112000200101
410120130310130211101
514413204043040304
6350200543052401
730520212101611
oct4303464344521
91053240460611
10301131221329
111067887a6664
124a4402a1101
13225202c1443
141080948aa41
157c76b608a4
hex461cd1c951

301131221329 has 2 divisors, whose sum is σ = 301131221330. Its totient is φ = 301131221328.

The previous prime is 301131221327. The next prime is 301131221353. The reversal of 301131221329 is 923122131103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176752976400 + 124378244929 = 420420^2 + 352673^2 .

It is a cyclic number.

It is not a de Polignac number, because 301131221329 - 21 = 301131221327 is a prime.

Together with 301131221327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 301131221297 and 301131221306.

It is not a weakly prime, because it can be changed into another prime (301131221327) 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, 150565610664 + 150565610665.

It is an arithmetic number, because the mean of its divisors is an integer number (150565610665).

Almost surely, 2301131221329 is an apocalyptic number.

It is an amenable number.

301131221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

301131221329 is an equidigital number, since it uses as much as digits as its factorization.

301131221329 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 28.

The spelling of 301131221329 in words is "three hundred one billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty-nine".