Search a number
-
+
130023123133 is a prime number
BaseRepresentation
bin111100100010111111…
…0110110100010111101
3110102121112110000121011
41321011332312202331
54112241404420013
6135422022435221
712252044211511
oct1710576664275
9412545400534
10130023123133
1150162732962
1221248592b11
13c35190c667
1464165a8141
1535aedcec3d
hex1e45fb68bd

130023123133 has 2 divisors, whose sum is σ = 130023123134. Its totient is φ = 130023123132.

The previous prime is 130023123121. The next prime is 130023123137. The reversal of 130023123133 is 331321320031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92840871204 + 37182251929 = 304698^2 + 192827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130023123133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130023123137) 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, 65011561566 + 65011561567.

It is an arithmetic number, because the mean of its divisors is an integer number (65011561567).

Almost surely, 2130023123133 is an apocalyptic number.

It is an amenable number.

130023123133 is a deficient number, since it is larger than the sum of its proper divisors (1).

130023123133 is an equidigital number, since it uses as much as digits as its factorization.

130023123133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 130023123133 its reverse (331321320031), we get a palindrome (461344443164).

The spelling of 130023123133 in words is "one hundred thirty billion, twenty-three million, one hundred twenty-three thousand, one hundred thirty-three".