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101684329 is a prime number
BaseRepresentation
bin1100000111110…
…01010001101001
321002100002200021
412003321101221
5202012344304
614031240441
72343205525
oct603712151
9232302607
10101684329
1152441a3a
122a079121
13180b3356
14d70cd85
158dd8a54
hex60f9469

101684329 has 2 divisors, whose sum is σ = 101684330. Its totient is φ = 101684328.

The previous prime is 101684321. The next prime is 101684413. The reversal of 101684329 is 923486101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61387225 + 40297104 = 7835^2 + 6348^2 .

It is a cyclic number.

It is not a de Polignac number, because 101684329 - 23 = 101684321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101684294 and 101684303.

It is not a weakly prime, because it can be changed into another prime (101684321) 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, 50842164 + 50842165.

It is an arithmetic number, because the mean of its divisors is an integer number (50842165).

Almost surely, 2101684329 is an apocalyptic number.

It is an amenable number.

101684329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101684329 is an equidigital number, since it uses as much as digits as its factorization.

101684329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 101684329 is about 10083.8647848927. The cubic root of 101684329 is about 466.7503751766.

The spelling of 101684329 in words is "one hundred one million, six hundred eighty-four thousand, three hundred twenty-nine".