Search a number
-
+
104663211089 is a prime number
BaseRepresentation
bin110000101111001101…
…0011101110001010001
3101000011011022000021112
41201132122131301101
53203322240223324
6120025343503105
710363436421053
oct1413632356121
9330134260245
10104663211089
1140429721668
121834b5b7a95
139b3c95c448
1450cc4d38d3
152ac8816c0e
hex185e69dc51

104663211089 has 2 divisors, whose sum is σ = 104663211090. Its totient is φ = 104663211088.

The previous prime is 104663211053. The next prime is 104663211101. The reversal of 104663211089 is 980112366401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103624760464 + 1038450625 = 321908^2 + 32225^2 .

It is a cyclic number.

It is not a de Polignac number, because 104663211089 - 220 = 104662162513 is a prime.

It is a super-4 number, since 4×1046632110894 (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (104663211049) 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, 52331605544 + 52331605545.

It is an arithmetic number, because the mean of its divisors is an integer number (52331605545).

Almost surely, 2104663211089 is an apocalyptic number.

It is an amenable number.

104663211089 is a deficient number, since it is larger than the sum of its proper divisors (1).

104663211089 is an equidigital number, since it uses as much as digits as its factorization.

104663211089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 104663211089 in words is "one hundred four billion, six hundred sixty-three million, two hundred eleven thousand, eighty-nine".