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300223313 = 13193139209
BaseRepresentation
bin10001111001010…
…000101101010001
3202220220220221222
4101321100231101
51103324121223
645442454425
710303566425
oct2171205521
9686826858
10300223313
11144517245
1284664415
134a278640
142bc30b85
151b5550c8
hex11e50b51

300223313 has 16 divisors (see below), whose sum is σ = 351321600. Its totient is φ = 254067840.

The previous prime is 300223277. The next prime is 300223331. The reversal of 300223313 is 313322003.

It is not a de Polignac number, because 300223313 - 218 = 299961169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300223291 and 300223300.

It is not an unprimeable number, because it can be changed into a prime (300223333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11948 + ... + 27261.

It is an arithmetic number, because the mean of its divisors is an integer number (21957600).

Almost surely, 2300223313 is an apocalyptic number.

It is an amenable number.

300223313 is a deficient number, since it is larger than the sum of its proper divisors (51098287).

300223313 is a wasteful number, since it uses less digits than its factorization.

300223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39272.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 300223313 is about 17326.9533675139. The cubic root of 300223313 is about 669.5990123073.

Adding to 300223313 its reverse (313322003), we get a palindrome (613545316).

The spelling of 300223313 in words is "three hundred million, two hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 13 19 31 247 403 589 7657 39209 509717 744971 1215479 9684623 15801227 23094101 300223313