Search a number
-
+
301054544029 is a prime number
BaseRepresentation
bin1000110000110000011…
…11111100100010011101
31001210002000020102012101
410120120033330202131
514413024430402104
6350145203405101
730515261254621
oct4303017744235
91053060212171
10301054544029
11106749494898
124a41a683791
132250a455565
14107dd20b181
157c700665a4
hex46183fc89d

301054544029 has 2 divisors, whose sum is σ = 301054544030. Its totient is φ = 301054544028.

The previous prime is 301054543987. The next prime is 301054544113. The reversal of 301054544029 is 920445450103.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300561615225 + 492928804 = 548235^2 + 22202^2 .

It is a cyclic number.

It is not a de Polignac number, because 301054544029 - 237 = 163615590557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301054544929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150527272014 + 150527272015.

It is an arithmetic number, because the mean of its divisors is an integer number (150527272015).

Almost surely, 2301054544029 is an apocalyptic number.

It is an amenable number.

301054544029 is a deficient number, since it is larger than the sum of its proper divisors (1).

301054544029 is an equidigital number, since it uses as much as digits as its factorization.

301054544029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 301054544029 in words is "three hundred one billion, fifty-four million, five hundred forty-four thousand, twenty-nine".