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114567329 is a prime number
BaseRepresentation
bin1101101010000…
…10100010100001
321222120121211102
412311002202201
5213312123304
615211324145
72560543352
oct665024241
9258517742
10114567329
1159741148
1232450655
131a974226
1411303d29
15a0d0d1e
hex6d428a1

114567329 has 2 divisors, whose sum is σ = 114567330. Its totient is φ = 114567328.

The previous prime is 114567317. The next prime is 114567367. The reversal of 114567329 is 923765411.

It is an a-pointer prime, because the next prime (114567367) can be obtained adding 114567329 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91718929 + 22848400 = 9577^2 + 4780^2 .

It is an emirp because it is prime and its reverse (923765411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114567329 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 114567292 and 114567301.

It is not a weakly prime, because it can be changed into another prime (114561329) 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, 57283664 + 57283665.

It is an arithmetic number, because the mean of its divisors is an integer number (57283665).

Almost surely, 2114567329 is an apocalyptic number.

It is an amenable number.

114567329 is a deficient number, since it is larger than the sum of its proper divisors (1).

114567329 is an equidigital number, since it uses as much as digits as its factorization.

114567329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 114567329 is about 10703.6128947192. The cubic root of 114567329 is about 485.6837756705.

The spelling of 114567329 in words is "one hundred fourteen million, five hundred sixty-seven thousand, three hundred twenty-nine".