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300022102301 is a prime number
BaseRepresentation
bin1000101110110101011…
…01011111100100011101
31001200102001111221101212
410113122231133210131
514403421124233201
6345454522514205
730450553535465
oct4273255374435
91050361457355
10300022102301
11106269723069
124a190965965
13223a4599bac
1410742056ba5
157c0e5c7abb
hex45dab5f91d

300022102301 has 2 divisors, whose sum is σ = 300022102302. Its totient is φ = 300022102300.

The previous prime is 300022102249. The next prime is 300022102307. The reversal of 300022102301 is 103201220003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289648476100 + 10373626201 = 538190^2 + 101851^2 .

It is a cyclic number.

It is not a de Polignac number, because 300022102301 - 234 = 282842233117 is a prime.

It is a super-3 number, since 3×3000221023013 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300022102307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150011051150 + 150011051151.

It is an arithmetic number, because the mean of its divisors is an integer number (150011051151).

Almost surely, 2300022102301 is an apocalyptic number.

It is an amenable number.

300022102301 is a deficient number, since it is larger than the sum of its proper divisors (1).

300022102301 is an equidigital number, since it uses as much as digits as its factorization.

300022102301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 300022102301 its reverse (103201220003), we get a palindrome (403223322304).

The spelling of 300022102301 in words is "three hundred billion, twenty-two million, one hundred two thousand, three hundred one".