Search a number
-
+
300021031993 is a prime number
BaseRepresentation
bin1000101110110101010…
…01011010010000111001
31001200101222111120012211
410113122221122100321
514403420341010433
6345454443535121
730450541460164
oct4273251322071
91050358446184
10300021031993
11106269061a11
124a19052a4a1
13223a42b3987
1410741c58adb
157c0e4658cd
hex45daa5a439

300021031993 has 2 divisors, whose sum is σ = 300021031994. Its totient is φ = 300021031992.

The previous prime is 300021031991. The next prime is 300021032021. The reversal of 300021031993 is 399130120003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203426256784 + 96594775209 = 451028^2 + 310797^2 .

It is an emirp because it is prime and its reverse (399130120003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300021031993 - 21 = 300021031991 is a prime.

Together with 300021031991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (300021031991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150010515996 + 150010515997.

It is an arithmetic number, because the mean of its divisors is an integer number (150010515997).

Almost surely, 2300021031993 is an apocalyptic number.

It is an amenable number.

300021031993 is a deficient number, since it is larger than the sum of its proper divisors (1).

300021031993 is an equidigital number, since it uses as much as digits as its factorization.

300021031993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 31.

Adding to 300021031993 its reverse (399130120003), we get a palindrome (699151151996).

The spelling of 300021031993 in words is "three hundred billion, twenty-one million, thirty-one thousand, nine hundred ninety-three".