Search a number
-
+
130013230021 is a prime number
BaseRepresentation
bin111100100010101100…
…1000111001111000101
3110102120211211101210121
41321011121013033011
54112231341330041
6135421030421541
712251564135563
oct1710531071705
9412524741717
10130013230021
1150158096034
12212452018b1
13c34c85764c
146415150a33
1535ae0c87d1
hex1e456473c5

130013230021 has 2 divisors, whose sum is σ = 130013230022. Its totient is φ = 130013230020.

The previous prime is 130013230019. The next prime is 130013230051. The reversal of 130013230021 is 120032310031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116315102500 + 13698127521 = 341050^2 + 117039^2 .

It is a cyclic number.

It is not a de Polignac number, because 130013230021 - 21 = 130013230019 is a prime.

Together with 130013230019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 130013229977 and 130013230004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130013230051) 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, 65006615010 + 65006615011.

It is an arithmetic number, because the mean of its divisors is an integer number (65006615011).

Almost surely, 2130013230021 is an apocalyptic number.

It is an amenable number.

130013230021 is a deficient number, since it is larger than the sum of its proper divisors (1).

130013230021 is an equidigital number, since it uses as much as digits as its factorization.

130013230021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 130013230021 its reverse (120032310031), we get a palindrome (250045540052).

The spelling of 130013230021 in words is "one hundred thirty billion, thirteen million, two hundred thirty thousand, twenty-one".