Search a number
-
+
130141315361 is a prime number
BaseRepresentation
bin111100100110100000…
…1101110000100100001
3110102220202211210212002
41321031001232010201
54113012134042421
6135441444013345
712255010633331
oct1711501560441
9412822753762
10130141315361
115021341a492
1221280091255
13c3702527a5
1464281730c1
1535ba479b0b
hex1e4d06e121

130141315361 has 2 divisors, whose sum is σ = 130141315362. Its totient is φ = 130141315360.

The previous prime is 130141315333. The next prime is 130141315373. The reversal of 130141315361 is 163513141031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125568174736 + 4573140625 = 354356^2 + 67625^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130141315361 is a prime.

It is a super-3 number, since 3×1301413153613 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (130141315301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65070657680 + 65070657681.

It is an arithmetic number, because the mean of its divisors is an integer number (65070657681).

Almost surely, 2130141315361 is an apocalyptic number.

It is an amenable number.

130141315361 is a deficient number, since it is larger than the sum of its proper divisors (1).

130141315361 is an equidigital number, since it uses as much as digits as its factorization.

130141315361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 130141315361 its reverse (163513141031), we get a palindrome (293654456392).

The spelling of 130141315361 in words is "one hundred thirty billion, one hundred forty-one million, three hundred fifteen thousand, three hundred sixty-one".