Search a number
-
+
114561329 is a prime number
BaseRepresentation
bin1101101010000…
…01000100110001
321222120022121012
412311001010301
5213311430304
615211240305
72560520021
oct665010461
9258508535
10114561329
1159737693
1232449095
131a97158c
1411301a81
15a0ce16e
hex6d41131

114561329 has 2 divisors, whose sum is σ = 114561330. Its totient is φ = 114561328.

The previous prime is 114561323. The next prime is 114561347. The reversal of 114561329 is 923165411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107081104 + 7480225 = 10348^2 + 2735^2 .

It is a cyclic number.

It is not a de Polignac number, because 114561329 - 24 = 114561313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114561295 and 114561304.

It is not a weakly prime, because it can be changed into another prime (114561323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57280664 + 57280665.

It is an arithmetic number, because the mean of its divisors is an integer number (57280665).

Almost surely, 2114561329 is an apocalyptic number.

It is an amenable number.

114561329 is a deficient number, since it is larger than the sum of its proper divisors (1).

114561329 is an equidigital number, since it uses as much as digits as its factorization.

114561329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 32.

The square root of 114561329 is about 10703.3326118551. The cubic root of 114561329 is about 485.6752969487.

The spelling of 114561329 in words is "one hundred fourteen million, five hundred sixty-one thousand, three hundred twenty-nine".