Search a number
-
+
104401142189 is a prime number
BaseRepresentation
bin110000100111011001…
…0110000000110101101
3100222110220011112022222
41201032302300012231
53202303143022224
6115543342445125
710354105031561
oct1411662600655
9328426145288
10104401142189
11403047a53a3
12182978937a5
139aca5825a6
1450a57956a1
152ab07ebb5e
hex184ecb01ad

104401142189 has 2 divisors, whose sum is σ = 104401142190. Its totient is φ = 104401142188.

The previous prime is 104401142171. The next prime is 104401142309. The reversal of 104401142189 is 981241104401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61074719689 + 43326422500 = 247133^2 + 208150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104401142189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104401142089) 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, 52200571094 + 52200571095.

It is an arithmetic number, because the mean of its divisors is an integer number (52200571095).

Almost surely, 2104401142189 is an apocalyptic number.

It is an amenable number.

104401142189 is a deficient number, since it is larger than the sum of its proper divisors (1).

104401142189 is an equidigital number, since it uses as much as digits as its factorization.

104401142189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 104401142189 in words is "one hundred four billion, four hundred one million, one hundred forty-two thousand, one hundred eighty-nine".