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300223330133 is a prime number
BaseRepresentation
bin1000101111001101011…
…01000111011101010101
31001200221002011101002112
410113212231013131111
514404324133031013
6345530511520405
730455546125526
oct4274655073525
91050832141075
10300223330133
11106362274561
124a228229105
132240719400c
1410760a7884d
157c220c5ba8
hex45e6b47755

300223330133 has 2 divisors, whose sum is σ = 300223330134. Its totient is φ = 300223330132.

The previous prime is 300223330091. The next prime is 300223330217. The reversal of 300223330133 is 331033322003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237263487409 + 62959842724 = 487097^2 + 250918^2 .

It is a cyclic number.

It is not a de Polignac number, because 300223330133 - 28 = 300223329877 is a prime.

It is a super-2 number, since 2×3002233301332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300223330099 and 300223330108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300223330333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150111665066 + 150111665067.

It is an arithmetic number, because the mean of its divisors is an integer number (150111665067).

Almost surely, 2300223330133 is an apocalyptic number.

It is an amenable number.

300223330133 is a deficient number, since it is larger than the sum of its proper divisors (1).

300223330133 is an equidigital number, since it uses as much as digits as its factorization.

300223330133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 300223330133 its reverse (331033322003), we get a palindrome (631256652136).

The spelling of 300223330133 in words is "three hundred billion, two hundred twenty-three million, three hundred thirty thousand, one hundred thirty-three".