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109938329 is a prime number
BaseRepresentation
bin1101000110110…
…00011010011001
321122212110000222
412203120122121
5211121011304
614524205425
72503313624
oct643303231
9248773028
10109938329
115706a326
1230999875
1319a13287
141085adbb
1599b94be
hex68d8699

109938329 has 2 divisors, whose sum is σ = 109938330. Its totient is φ = 109938328.

The previous prime is 109938319. The next prime is 109938373. The reversal of 109938329 is 923839901.

It is an a-pointer prime, because the next prime (109938373) can be obtained adding 109938329 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71436304 + 38502025 = 8452^2 + 6205^2 .

It is a cyclic number.

It is not a de Polignac number, because 109938329 - 212 = 109934233 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 109938329.

It is not a weakly prime, because it can be changed into another prime (109938319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54969164 + 54969165.

It is an arithmetic number, because the mean of its divisors is an integer number (54969165).

Almost surely, 2109938329 is an apocalyptic number.

It is an amenable number.

109938329 is a deficient number, since it is larger than the sum of its proper divisors (1).

109938329 is an equidigital number, since it uses as much as digits as its factorization.

109938329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 109938329 is about 10485.1480199375. The cubic root of 109938329 is about 479.0524260417.

The spelling of 109938329 in words is "one hundred nine million, nine hundred thirty-eight thousand, three hundred twenty-nine".