Search a number
-
+
107733260441 is a prime number
BaseRepresentation
bin110010001010101100…
…1110001100010011001
3101022002010010200021002
41210111121301202121
53231114203313231
6121254133354345
710532505414212
oct1442531614231
9338063120232
10107733260441
1141764687134
1218a677989b5
13a20b9cbab1
145300132409
152c080e60cb
hex1915671899

107733260441 has 2 divisors, whose sum is σ = 107733260442. Its totient is φ = 107733260440.

The previous prime is 107733260399. The next prime is 107733260449. The reversal of 107733260441 is 144062337701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105235360000 + 2497900441 = 324400^2 + 49979^2 .

It is an emirp because it is prime and its reverse (144062337701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107733260441 - 214 = 107733244057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107733260395 and 107733260404.

It is not a weakly prime, because it can be changed into another prime (107733260449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53866630220 + 53866630221.

It is an arithmetic number, because the mean of its divisors is an integer number (53866630221).

Almost surely, 2107733260441 is an apocalyptic number.

It is an amenable number.

107733260441 is a deficient number, since it is larger than the sum of its proper divisors (1).

107733260441 is an equidigital number, since it uses as much as digits as its factorization.

107733260441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 107733260441 in words is "one hundred seven billion, seven hundred thirty-three million, two hundred sixty thousand, four hundred forty-one".