Search a number
-
+
30101113027 is a prime number
BaseRepresentation
bin11100000010001010…
…101000100011000011
32212200210112222101001
4130002022220203003
5443121341104102
621454523152431
72113635145006
oct340212504303
985623488331
1030101113027
1111847325817
125a00975717
132ab93083ab
141657a4953d
15bb294d487
hex7022a88c3

30101113027 has 2 divisors, whose sum is σ = 30101113028. Its totient is φ = 30101113026.

The previous prime is 30101112997. The next prime is 30101113067. The reversal of 30101113027 is 72031110103.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30101113027 is a prime.

It is a super-3 number, since 3×301011130273 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30101112995 and 30101113013.

It is not a weakly prime, because it can be changed into another prime (30101113067) 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, 15050556513 + 15050556514.

It is an arithmetic number, because the mean of its divisors is an integer number (15050556514).

Almost surely, 230101113027 is an apocalyptic number.

30101113027 is a deficient number, since it is larger than the sum of its proper divisors (1).

30101113027 is an equidigital number, since it uses as much as digits as its factorization.

30101113027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The spelling of 30101113027 in words is "thirty billion, one hundred one million, one hundred thirteen thousand, twenty-seven".