Search a number
-
+
30013100057 is a prime number
BaseRepresentation
bin11011111100111010…
…111001000000011001
32212110122221110021102
4123330322321000121
5442431323200212
621442100521145
72111516066303
oct337472710031
985418843242
1030013100057
1111801681326
1259973b01b5
132aa4000a05
14164a098973
15ba9d655c2
hex6fceb9019

30013100057 has 2 divisors, whose sum is σ = 30013100058. Its totient is φ = 30013100056.

The previous prime is 30013100011. The next prime is 30013100077. The reversal of 30013100057 is 75000131003.

It is a happy number.

It is an a-pointer prime, because the next prime (30013100077) can be obtained adding 30013100057 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29016056281 + 997043776 = 170341^2 + 31576^2 .

It is a cyclic number.

It is not a de Polignac number, because 30013100057 - 224 = 29996322841 is a prime.

It is not a weakly prime, because it can be changed into another prime (30013100077) 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, 15006550028 + 15006550029.

It is an arithmetic number, because the mean of its divisors is an integer number (15006550029).

Almost surely, 230013100057 is an apocalyptic number.

It is an amenable number.

30013100057 is a deficient number, since it is larger than the sum of its proper divisors (1).

30013100057 is an equidigital number, since it uses as much as digits as its factorization.

30013100057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 20.

The spelling of 30013100057 in words is "thirty billion, thirteen million, one hundred thousand, fifty-seven".