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301242002129 is a prime number
BaseRepresentation
bin1000110001000110110…
…11000010101011010001
31001210120001222021100222
410120203123002223101
514413420423032004
6350215541322425
730523025524655
oct4304333025321
91053501867328
10301242002129
11106835290942
124a471406415
132253a23b003
141081a086a65
157c817447be
hex46236c2ad1

301242002129 has 2 divisors, whose sum is σ = 301242002130. Its totient is φ = 301242002128.

The previous prime is 301242002071. The next prime is 301242002167. The reversal of 301242002129 is 921200242103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207316302400 + 93925699729 = 455320^2 + 306473^2 .

It is an emirp because it is prime and its reverse (921200242103) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 301242002129 - 224 = 301225224913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 301242002098 and 301242002107.

It is not a weakly prime, because it can be changed into another prime (301242001129) 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, 150621001064 + 150621001065.

It is an arithmetic number, because the mean of its divisors is an integer number (150621001065).

Almost surely, 2301242002129 is an apocalyptic number.

It is an amenable number.

301242002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

301242002129 is an equidigital number, since it uses as much as digits as its factorization.

301242002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 301242002129 in words is "three hundred one billion, two hundred forty-two million, two thousand, one hundred twenty-nine".