Search a number
-
+
300545032729 is a prime number
BaseRepresentation
bin1000101111110011110…
…00010100001000011001
31001201202111111120002111
410113321320110020121
514411004012021404
6350022443032321
730466533425134
oct4277170241031
91051674446074
10300545032729
11106507921477
124a2b7b0b6a1
1322458a20196
141079169b21b
157c40470104
hex45f9e14219

300545032729 has 2 divisors, whose sum is σ = 300545032730. Its totient is φ = 300545032728.

The previous prime is 300545032709. The next prime is 300545032763. The reversal of 300545032729 is 927230545003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195918661129 + 104626371600 = 442627^2 + 323460^2 .

It is a cyclic number.

It is not a de Polignac number, because 300545032729 - 29 = 300545032217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300545032691 and 300545032700.

It is not a weakly prime, because it can be changed into another prime (300545032709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150272516364 + 150272516365.

It is an arithmetic number, because the mean of its divisors is an integer number (150272516365).

Almost surely, 2300545032729 is an apocalyptic number.

It is an amenable number.

300545032729 is a deficient number, since it is larger than the sum of its proper divisors (1).

300545032729 is an equidigital number, since it uses as much as digits as its factorization.

300545032729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 300545032729 in words is "three hundred billion, five hundred forty-five million, thirty-two thousand, seven hundred twenty-nine".