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300223300009 is a prime number
BaseRepresentation
bin1000101111001101011…
…01000000000110101001
31001200221002002211202211
410113212231000012221
514404324131100014
6345530511125121
730455545641643
oct4274655000651
91050832084684
10300223300009
11106362253966
124a2282137a1
13224071833a9
1410760a6b893
157c220bbcc4
hex45e6b401a9

300223300009 has 2 divisors, whose sum is σ = 300223300010. Its totient is φ = 300223300008.

The previous prime is 300223300007. The next prime is 300223300037. The reversal of 300223300009 is 900003322003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 291475813225 + 8747486784 = 539885^2 + 93528^2 .

It is a cyclic number.

It is not a de Polignac number, because 300223300009 - 21 = 300223300007 is a prime.

Together with 300223300007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (300223300007) 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, 150111650004 + 150111650005.

It is an arithmetic number, because the mean of its divisors is an integer number (150111650005).

Almost surely, 2300223300009 is an apocalyptic number.

It is an amenable number.

300223300009 is a deficient number, since it is larger than the sum of its proper divisors (1).

300223300009 is an equidigital number, since it uses as much as digits as its factorization.

300223300009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

The spelling of 300223300009 in words is "three hundred billion, two hundred twenty-three million, three hundred thousand, nine".