Search a number
-
+
106801340809 is a prime number
BaseRepresentation
bin110001101110111011…
…0110010000110001001
3101012200011120020212011
41203131312302012021
53222212120401214
6121021443215521
710500431263312
oct1433566620611
9335604506764
10106801340809
1141326633119
12188476775a1
13a0c090a767
145252467609
152ba13b1ac4
hex18dddb2189

106801340809 has 2 divisors, whose sum is σ = 106801340810. Its totient is φ = 106801340808.

The previous prime is 106801340777. The next prime is 106801340879. The reversal of 106801340809 is 908043108601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73873609209 + 32927731600 = 271797^2 + 181460^2 .

It is a cyclic number.

It is not a de Polignac number, because 106801340809 - 25 = 106801340777 is a prime.

It is a super-2 number, since 2×1068013408092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106801340879) 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, 53400670404 + 53400670405.

It is an arithmetic number, because the mean of its divisors is an integer number (53400670405).

Almost surely, 2106801340809 is an apocalyptic number.

It is an amenable number.

106801340809 is a deficient number, since it is larger than the sum of its proper divisors (1).

106801340809 is an equidigital number, since it uses as much as digits as its factorization.

106801340809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 106801340809 in words is "one hundred six billion, eight hundred one million, three hundred forty thousand, eight hundred nine".