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303123013 is a prime number
BaseRepresentation
bin10010000100010…
…100101001000101
3210010101020121021
4102010110221011
51110044414023
650024551141
710340334364
oct2204245105
9703336537
10303123013
11146117896
12856224b1
134aa5243b
142c3877db
151b92935d
hex12114a45

303123013 has 2 divisors, whose sum is σ = 303123014. Its totient is φ = 303123012.

The previous prime is 303123011. The next prime is 303123031. The reversal of 303123013 is 310321303.

Together with next prime (303123031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237868929 + 65254084 = 15423^2 + 8078^2 .

It is a cyclic number.

It is not a de Polignac number, because 303123013 - 21 = 303123011 is a prime.

It is a super-2 number, since 2×3031230132 = 183767122020396338, which contains 22 as substring.

Together with 303123011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (303123011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151561506 + 151561507.

It is an arithmetic number, because the mean of its divisors is an integer number (151561507).

Almost surely, 2303123013 is an apocalyptic number.

It is an amenable number.

303123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

303123013 is an equidigital number, since it uses as much as digits as its factorization.

303123013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 303123013 is about 17410.4282830722. The cubic root of 303123013 is about 671.7478777427.

Adding to 303123013 its reverse (310321303), we get a palindrome (613444316).

The spelling of 303123013 in words is "three hundred three million, one hundred twenty-three thousand, thirteen".