Search a number
-
+
2148178168313 is a prime number
BaseRepresentation
bin11111010000101001011…
…001011000100111111001
321121100211020012201120222
4133100221121120213321
5240143432102341223
64322505345225425
7311125600103462
oct37205131304771
97540736181528
102148178168313
11759045633911
122a83b8632275
1312775954b6c8
1475d882c3d69
153ad2bb900c8
hex1f4296589f9

2148178168313 has 2 divisors, whose sum is σ = 2148178168314. Its totient is φ = 2148178168312.

The previous prime is 2148178168273. The next prime is 2148178168361. The reversal of 2148178168313 is 3138618718412.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2041606607104 + 106571561209 = 1428848^2 + 326453^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148178168313 - 226 = 2148111059449 is a prime.

It is a super-2 number, since 2×21481781683132 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2148178168363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1074089084156 + 1074089084157.

It is an arithmetic number, because the mean of its divisors is an integer number (1074089084157).

Almost surely, 22148178168313 is an apocalyptic number.

It is an amenable number.

2148178168313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148178168313 is an equidigital number, since it uses as much as digits as its factorization.

2148178168313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1548288, while the sum is 53.

The spelling of 2148178168313 in words is "two trillion, one hundred forty-eight billion, one hundred seventy-eight million, one hundred sixty-eight thousand, three hundred thirteen".