Search a number
-
+
300003003133 is a prime number
BaseRepresentation
bin1000101110110011001…
…00101000101011111101
31001200100201120121021021
410113121210220223331
514403401232100013
6345453001304141
730450232311001
oct4273144505375
91050321517237
10300003003133
11106259968629
124a186495051
13223a0640802
141073d6c4701
157c0caa3a8d
hex45d9928afd

300003003133 has 2 divisors, whose sum is σ = 300003003134. Its totient is φ = 300003003132.

The previous prime is 300003003127. The next prime is 300003003137. The reversal of 300003003133 is 331300300003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296254869849 + 3748133284 = 544293^2 + 61222^2 .

It is a cyclic number.

It is not a de Polignac number, because 300003003133 - 229 = 299466132221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300003003137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150001501566 + 150001501567.

It is an arithmetic number, because the mean of its divisors is an integer number (150001501567).

Almost surely, 2300003003133 is an apocalyptic number.

It is an amenable number.

300003003133 is a deficient number, since it is larger than the sum of its proper divisors (1).

300003003133 is an equidigital number, since it uses as much as digits as its factorization.

300003003133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 16.

Adding to 300003003133 its reverse (331300300003), we get a palindrome (631303303136).

The spelling of 300003003133 in words is "three hundred billion, three million, three thousand, one hundred thirty-three".