Search a number
-
+
130756245761 is a prime number
BaseRepresentation
bin111100111000110101…
…1011111100100000001
3110111111121221111210002
41321301223133210001
54120242044331021
6140022452045345
712306155515331
oct1716153374401
9414447844702
10130756245761
11504a9545829
1221412003855
13c43a77812b
146485ac50c1
15360444650b
hex1e71adf901

130756245761 has 2 divisors, whose sum is σ = 130756245762. Its totient is φ = 130756245760.

The previous prime is 130756245751. The next prime is 130756245779. The reversal of 130756245761 is 167542657031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121639815361 + 9116430400 = 348769^2 + 95480^2 .

It is an emirp because it is prime and its reverse (167542657031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 130756245761 - 214 = 130756229377 is a prime.

It is a super-2 number, since 2×1307562457612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (130756245751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65378122880 + 65378122881.

It is an arithmetic number, because the mean of its divisors is an integer number (65378122881).

Almost surely, 2130756245761 is an apocalyptic number.

It is an amenable number.

130756245761 is a deficient number, since it is larger than the sum of its proper divisors (1).

130756245761 is an equidigital number, since it uses as much as digits as its factorization.

130756245761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 130756245761 in words is "one hundred thirty billion, seven hundred fifty-six million, two hundred forty-five thousand, seven hundred sixty-one".