Search a number
-
+
104114423129 is a prime number
BaseRepresentation
bin110000011110110110…
…1000000010101011001
3100221201220122200201112
41200331231000111121
53201211243020004
6115455101230105
710344023665133
oct1407555002531
9327656580645
10104114423129
11401779720a2
1218217862335
139a83054842
14507967c053
152a95562e6e
hex183db40559

104114423129 has 2 divisors, whose sum is σ = 104114423130. Its totient is φ = 104114423128.

The previous prime is 104114423123. The next prime is 104114423207. The reversal of 104114423129 is 921324411401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98046013129 + 6068410000 = 313123^2 + 77900^2 .

It is an emirp because it is prime and its reverse (921324411401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104114423129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104114423095 and 104114423104.

It is not a weakly prime, because it can be changed into another prime (104114423123) 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, 52057211564 + 52057211565.

It is an arithmetic number, because the mean of its divisors is an integer number (52057211565).

Almost surely, 2104114423129 is an apocalyptic number.

It is an amenable number.

104114423129 is a deficient number, since it is larger than the sum of its proper divisors (1).

104114423129 is an equidigital number, since it uses as much as digits as its factorization.

104114423129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 104114423129 in words is "one hundred four billion, one hundred fourteen million, four hundred twenty-three thousand, one hundred twenty-nine".