Search a number
-
+
12010462824769 is a prime number
BaseRepresentation
bin1010111011000110011101…
…0111101100100101000001
31120112012002210201200010221
42232301213113230211001
53033234411440343034
641313310324423041
72346504315366553
oct256614727544501
946465083650127
1012010462824769
113910677174a22
12141b85b847a81
13691774247266
142d74493bb4d3
1515c646751bb4
hexaec675ec941

12010462824769 has 2 divisors, whose sum is σ = 12010462824770. Its totient is φ = 12010462824768.

The previous prime is 12010462824719. The next prime is 12010462824781. The reversal of 12010462824769 is 96742826401021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7854634022544 + 4155828802225 = 2802612^2 + 2038585^2 .

It is a cyclic number.

It is not a de Polignac number, because 12010462824769 - 225 = 12010429270337 is a prime.

It is a super-2 number, since 2×120104628247692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12010462824709) 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, 6005231412384 + 6005231412385.

It is an arithmetic number, because the mean of its divisors is an integer number (6005231412385).

Almost surely, 212010462824769 is an apocalyptic number.

It is an amenable number.

12010462824769 is a deficient number, since it is larger than the sum of its proper divisors (1).

12010462824769 is an equidigital number, since it uses as much as digits as its factorization.

12010462824769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 12010462824769 in words is "twelve trillion, ten billion, four hundred sixty-two million, eight hundred twenty-four thousand, seven hundred sixty-nine".