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305657042129 is a prime number
BaseRepresentation
bin1000111001010101001…
…01000101010011010001
31002012221202122112122222
410130222211011103101
520001441200322004
6352230015110425
731040315663465
oct4345245052321
91065852575588
10305657042129
111086a048282a
124b2a3b12415
1322a91b3890a
1410b185984a5
157e3e14e7be
hex472a9454d1

305657042129 has 2 divisors, whose sum is σ = 305657042130. Its totient is φ = 305657042128.

The previous prime is 305657042107. The next prime is 305657042183. The reversal of 305657042129 is 921240756503.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301234127104 + 4422915025 = 548848^2 + 66505^2 .

It is an emirp because it is prime and its reverse (921240756503) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-305657042129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 305657042129.

It is not a weakly prime, because it can be changed into another prime (305657042189) 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, 152828521064 + 152828521065.

It is an arithmetic number, because the mean of its divisors is an integer number (152828521065).

Almost surely, 2305657042129 is an apocalyptic number.

It is an amenable number.

305657042129 is a deficient number, since it is larger than the sum of its proper divisors (1).

305657042129 is an equidigital number, since it uses as much as digits as its factorization.

305657042129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 305657042129 in words is "three hundred five billion, six hundred fifty-seven million, forty-two thousand, one hundred twenty-nine".