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300011100001 is a prime number
BaseRepresentation
bin1000101110110100000…
…11100001011101100001
31001200101021210222002021
410113122003201131201
514403410320200001
6345453451021441
730450361163014
oct4273203413541
91050337728067
10300011100001
11106263498958
124a18913a881
13223a2217062
14107407d137b
157c0d652ba1
hex45da0e1761

300011100001 has 2 divisors, whose sum is σ = 300011100002. Its totient is φ = 300011100000.

The previous prime is 300011099957. The next prime is 300011100049. The reversal of 300011100001 is 100001110003.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156854810401 + 143156289600 = 396049^2 + 378360^2 .

It is a cyclic number.

It is not a de Polignac number, because 300011100001 - 227 = 299876882273 is a prime.

It is a super-3 number, since 3×3000111000013 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (300011100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150005550000 + 150005550001.

It is an arithmetic number, because the mean of its divisors is an integer number (150005550001).

Almost surely, 2300011100001 is an apocalyptic number.

It is an amenable number.

300011100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

300011100001 is an equidigital number, since it uses as much as digits as its factorization.

300011100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 300011100001 its reverse (100001110003), we get a palindrome (400012210004).

The spelling of 300011100001 in words is "three hundred billion, eleven million, one hundred thousand, one".