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30301312001 is a prime number
BaseRepresentation
bin11100001110000110…
…010101010000000001
32220012202021010201212
4130032012111100001
5444024113441001
621530434135505
72121615621332
oct341606252001
986182233655
1030301312001
111193a334214
125a57a21595
132b1b93211c
141676480289
15bc52e67bb
hex70e195401

30301312001 has 2 divisors, whose sum is σ = 30301312002. Its totient is φ = 30301312000.

The previous prime is 30301311991. The next prime is 30301312021. The reversal of 30301312001 is 10021310303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28737030400 + 1564281601 = 169520^2 + 39551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30301312001 is a prime.

It is not a weakly prime, because it can be changed into another prime (30301312021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15150656000 + 15150656001.

It is an arithmetic number, because the mean of its divisors is an integer number (15150656001).

Almost surely, 230301312001 is an apocalyptic number.

It is an amenable number.

30301312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

30301312001 is an equidigital number, since it uses as much as digits as its factorization.

30301312001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 30301312001 its reverse (10021310303), we get a palindrome (40322622304).

The spelling of 30301312001 in words is "thirty billion, three hundred one million, three hundred twelve thousand, one".