Search a number
-
+
32314304129 is a prime number
BaseRepresentation
bin11110000110000101…
…010010011010000001
310002102001001201210212
4132012011102122001
51012134430213004
622502303403505
72222531024132
oct360605223201
9102361051725
1032314304129
1112782644a78
126319bb3595
13307c9a7c23
1417c795bc89
15c91dc396e
hex786152681

32314304129 has 2 divisors, whose sum is σ = 32314304130. Its totient is φ = 32314304128.

The previous prime is 32314304107. The next prime is 32314304137. The reversal of 32314304129 is 92140341323.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21498304129 + 10816000000 = 146623^2 + 104000^2 .

It is a cyclic number.

It is not a de Polignac number, because 32314304129 - 220 = 32313255553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32314304095 and 32314304104.

It is not a weakly prime, because it can be changed into another prime (32314304159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16157152064 + 16157152065.

It is an arithmetic number, because the mean of its divisors is an integer number (16157152065).

Almost surely, 232314304129 is an apocalyptic number.

It is an amenable number.

32314304129 is a deficient number, since it is larger than the sum of its proper divisors (1).

32314304129 is an equidigital number, since it uses as much as digits as its factorization.

32314304129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 32314304129 in words is "thirty-two billion, three hundred fourteen million, three hundred four thousand, one hundred twenty-nine".