Search a number
-
+
303031013009 is a prime number
BaseRepresentation
bin1000110100011100000…
…11100100111010010001
31001222011202022102221012
410122032003210322101
514431101414404014
6351113250140305
730615251053064
oct4321603447221
91058152272835
10303031013009
1110757311a22a
124a890581695
1322763a8122a
14109498dc8db
157d3882bc3e
hex468e0e4e91

303031013009 has 2 divisors, whose sum is σ = 303031013010. Its totient is φ = 303031013008.

The previous prime is 303031012969. The next prime is 303031013017. The reversal of 303031013009 is 900310130303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174757441600 + 128273571409 = 418040^2 + 358153^2 .

It is a cyclic number.

It is not a de Polignac number, because 303031013009 - 216 = 303030947473 is a prime.

It is not a weakly prime, because it can be changed into another prime (303031013029) 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, 151515506504 + 151515506505.

It is an arithmetic number, because the mean of its divisors is an integer number (151515506505).

Almost surely, 2303031013009 is an apocalyptic number.

It is an amenable number.

303031013009 is a deficient number, since it is larger than the sum of its proper divisors (1).

303031013009 is an equidigital number, since it uses as much as digits as its factorization.

303031013009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

The spelling of 303031013009 in words is "three hundred three billion, thirty-one million, thirteen thousand, nine".