Search a number
-
+
30282558401 is a prime number
BaseRepresentation
bin11100001100111110…
…110010101111000001
32220011102222100122002
4130030332302233001
5444004313332101
621524524153345
72121300333164
oct341476625701
986142870562
1030282558401
111192a795377
125a51698855
132b17a97114
141673b9badb
15bc383ed6b
hex70cfb2bc1

30282558401 has 2 divisors, whose sum is σ = 30282558402. Its totient is φ = 30282558400.

The previous prime is 30282558389. The next prime is 30282558457. The reversal of 30282558401 is 10485528203.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21396668176 + 8885890225 = 146276^2 + 94265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30282558401 is a prime.

It is not a weakly prime, because it can be changed into another prime (30282558101) 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, 15141279200 + 15141279201.

It is an arithmetic number, because the mean of its divisors is an integer number (15141279201).

Almost surely, 230282558401 is an apocalyptic number.

It is an amenable number.

30282558401 is a deficient number, since it is larger than the sum of its proper divisors (1).

30282558401 is an equidigital number, since it uses as much as digits as its factorization.

30282558401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 30282558401 in words is "thirty billion, two hundred eighty-two million, five hundred fifty-eight thousand, four hundred one".