Search a number
-
+
120404314241 is a prime number
BaseRepresentation
bin111000000100010101…
…0000000100010000001
3102111210011221220100222
41300020222000202001
53433042001023431
6131151334152425
711461505533061
oct1601052004201
9374704856328
10120404314241
1147077107422
121b4031b2715
13b47aba9573
145b82d113a1
1531ea71c57b
hex1c08a80881

120404314241 has 2 divisors, whose sum is σ = 120404314242. Its totient is φ = 120404314240.

The previous prime is 120404314229. The next prime is 120404314243. The reversal of 120404314241 is 142413404021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104003670016 + 16400644225 = 322496^2 + 128065^2 .

It is a cyclic number.

It is not a de Polignac number, because 120404314241 - 214 = 120404297857 is a prime.

It is a Sophie Germain prime.

Together with 120404314243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120404314241.

It is not a weakly prime, because it can be changed into another prime (120404314243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60202157120 + 60202157121.

It is an arithmetic number, because the mean of its divisors is an integer number (60202157121).

Almost surely, 2120404314241 is an apocalyptic number.

It is an amenable number.

120404314241 is a deficient number, since it is larger than the sum of its proper divisors (1).

120404314241 is an equidigital number, since it uses as much as digits as its factorization.

120404314241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 120404314241 its reverse (142413404021), we get a palindrome (262817718262).

The spelling of 120404314241 in words is "one hundred twenty billion, four hundred four million, three hundred fourteen thousand, two hundred forty-one".