Search a number
-
+
10128706160641 is a prime number
BaseRepresentation
bin1001001101100100010111…
…1011101100100000000001
31022212021221221120122111221
42103121011323230200001
52311422042234120031
633313021404435041
72063526531560245
oct223310573544001
938767857518457
1010128706160641
113255618633522
121177017248a81
13586195c71223
1427033683c425
1512870e3d1a11
hex93645eec801

10128706160641 has 2 divisors, whose sum is σ = 10128706160642. Its totient is φ = 10128706160640.

The previous prime is 10128706160527. The next prime is 10128706160647. The reversal of 10128706160641 is 14606160782101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6325582135041 + 3803124025600 = 2515071^2 + 1950160^2 .

It is a cyclic number.

It is not a de Polignac number, because 10128706160641 - 29 = 10128706160129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10128706160647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5064353080320 + 5064353080321.

It is an arithmetic number, because the mean of its divisors is an integer number (5064353080321).

Almost surely, 210128706160641 is an apocalyptic number.

It is an amenable number.

10128706160641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10128706160641 is an equidigital number, since it uses as much as digits as its factorization.

10128706160641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 10128706160641 in words is "ten trillion, one hundred twenty-eight billion, seven hundred six million, one hundred sixty thousand, six hundred forty-one".