Search a number
-
+
301132346113 is a prime number
BaseRepresentation
bin1000110000111001110…
…00101111001100000001
31001210021102122011121001
410120130320233030001
514413204340033423
6350201023132001
730520224465064
oct4303470571401
91053242564531
10301132346113
111067893a4735
124a440744001
13225205c63b1
14108096a08db
157c76cd3cad
hex461ce2f301

301132346113 has 2 divisors, whose sum is σ = 301132346114. Its totient is φ = 301132346112.

The previous prime is 301132346101. The next prime is 301132346117. The reversal of 301132346113 is 311643231103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295883778304 + 5248567809 = 543952^2 + 72447^2 .

It is a cyclic number.

It is not a de Polignac number, because 301132346113 - 233 = 292542411521 is a prime.

It is not a weakly prime, because it can be changed into another prime (301132346117) 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, 150566173056 + 150566173057.

It is an arithmetic number, because the mean of its divisors is an integer number (150566173057).

Almost surely, 2301132346113 is an apocalyptic number.

It is an amenable number.

301132346113 is a deficient number, since it is larger than the sum of its proper divisors (1).

301132346113 is an equidigital number, since it uses as much as digits as its factorization.

301132346113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 301132346113 its reverse (311643231103), we get a palindrome (612775577216).

The spelling of 301132346113 in words is "three hundred one billion, one hundred thirty-two million, three hundred forty-six thousand, one hundred thirteen".