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300223113013 is a prime number
BaseRepresentation
bin1000101111001101011…
…00010010011100110101
31001200221001202100021001
410113212230102130311
514404324104104023
6345530503123301
730455544232525
oct4274654223465
91050831670231
10300223113013
1110636213641a
124a228143531
1322407119245
1410760a1d685
157c220816ad
hex45e6b12735

300223113013 has 2 divisors, whose sum is σ = 300223113014. Its totient is φ = 300223113012.

The previous prime is 300223112999. The next prime is 300223113037. The reversal of 300223113013 is 310311322003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188211071889 + 112012041124 = 433833^2 + 334682^2 .

It is an emirp because it is prime and its reverse (310311322003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300223113013 - 229 = 299686242101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300223113053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150111556506 + 150111556507.

It is an arithmetic number, because the mean of its divisors is an integer number (150111556507).

Almost surely, 2300223113013 is an apocalyptic number.

It is an amenable number.

300223113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

300223113013 is an equidigital number, since it uses as much as digits as its factorization.

300223113013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 300223113013 its reverse (310311322003), we get a palindrome (610534435016).

The spelling of 300223113013 in words is "three hundred billion, two hundred twenty-three million, one hundred thirteen thousand, thirteen".