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130031021017 is a prime number
BaseRepresentation
bin111100100011001110…
…0111110101111011001
3110102122002022021110101
41321012130332233121
54112300420133032
6135422504015401
712252201304432
oct1710634765731
9412562267411
10130031021017
1150167137737
122124b161561
13c353446471
146417662489
1535b093ede7
hex1e4673ebd9

130031021017 has 2 divisors, whose sum is σ = 130031021018. Its totient is φ = 130031021016.

The previous prime is 130031020957. The next prime is 130031021089. The reversal of 130031021017 is 710120130031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119920919616 + 10110101401 = 346296^2 + 100549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130031021017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130031020985 and 130031021003.

It is not a weakly prime, because it can be changed into another prime (130031021317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65015510508 + 65015510509.

It is an arithmetic number, because the mean of its divisors is an integer number (65015510509).

Almost surely, 2130031021017 is an apocalyptic number.

It is an amenable number.

130031021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

130031021017 is an equidigital number, since it uses as much as digits as its factorization.

130031021017 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.

Adding to 130031021017 its reverse (710120130031), we get a palindrome (840151151048).

The spelling of 130031021017 in words is "one hundred thirty billion, thirty-one million, twenty-one thousand, seventeen".