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30311131013 is a prime number
BaseRepresentation
bin11100001110101011…
…110010011110000101
32220020102201222212222
4130032223302132011
5444034122143023
621531424422125
72122065235232
oct341653623605
986212658788
1030311131013
11119449303a9
125a5b177945
132b2098c4a7
1416778b8789
15bc60d5cc8
hex70eaf2785

30311131013 has 2 divisors, whose sum is σ = 30311131014. Its totient is φ = 30311131012.

The previous prime is 30311130991. The next prime is 30311131057. The reversal of 30311131013 is 31013111303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30186630049 + 124500964 = 173743^2 + 11158^2 .

It is a cyclic number.

It is not a de Polignac number, because 30311131013 - 214 = 30311114629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30311130982 and 30311131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30311031013) 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, 15155565506 + 15155565507.

It is an arithmetic number, because the mean of its divisors is an integer number (15155565507).

Almost surely, 230311131013 is an apocalyptic number.

It is an amenable number.

30311131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

30311131013 is an equidigital number, since it uses as much as digits as its factorization.

30311131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 30311131013 its reverse (31013111303), we get a palindrome (61324242316).

The spelling of 30311131013 in words is "thirty billion, three hundred eleven million, one hundred thirty-one thousand, thirteen".