Search a number
-
+
130431213413 is a prime number
BaseRepresentation
bin111100101111001001…
…1100101111101100101
3110110122222100011012222
41321132103211331211
54114110342312123
6135530321322125
712265131010214
oct1713623457545
9413588304188
10130431213413
1150352024156
1221341196345
13c3b83244b7
14645487707b
1535d5b406c8
hex1e5e4e5f65

130431213413 has 2 divisors, whose sum is σ = 130431213414. Its totient is φ = 130431213412.

The previous prime is 130431213401. The next prime is 130431213439. The reversal of 130431213413 is 314312134031.

It is an a-pointer prime, because the next prime (130431213439) can be obtained adding 130431213413 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85460921569 + 44970291844 = 292337^2 + 212062^2 .

It is a cyclic number.

It is not a de Polignac number, because 130431213413 - 24 = 130431213397 is a prime.

It is a super-2 number, since 2×1304312134132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130431218413) 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, 65215606706 + 65215606707.

It is an arithmetic number, because the mean of its divisors is an integer number (65215606707).

Almost surely, 2130431213413 is an apocalyptic number.

It is an amenable number.

130431213413 is a deficient number, since it is larger than the sum of its proper divisors (1).

130431213413 is an equidigital number, since it uses as much as digits as its factorization.

130431213413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 130431213413 its reverse (314312134031), we get a palindrome (444743347444).

The spelling of 130431213413 in words is "one hundred thirty billion, four hundred thirty-one million, two hundred thirteen thousand, four hundred thirteen".