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329135040029 is a prime number
BaseRepresentation
bin1001100101000011111…
…10100010011000011101
31011110112222122102002202
410302201332202120131
520343032032240104
6411111430101245
732531162452115
oct4624176423035
91143488572082
10329135040029
11117649171084
12539567aa825
1325063c48373
1411d04752045
1588653cd51e
hex4ca1fa261d

329135040029 has 2 divisors, whose sum is σ = 329135040030. Its totient is φ = 329135040028.

The previous prime is 329135039999. The next prime is 329135040061. The reversal of 329135040029 is 920040531923.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281719977529 + 47415062500 = 530773^2 + 217750^2 .

It is a cyclic number.

It is not a de Polignac number, because 329135040029 - 236 = 260415563293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 329135039974 and 329135040001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (329135040079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164567520014 + 164567520015.

It is an arithmetic number, because the mean of its divisors is an integer number (164567520015).

Almost surely, 2329135040029 is an apocalyptic number.

It is an amenable number.

329135040029 is a deficient number, since it is larger than the sum of its proper divisors (1).

329135040029 is an equidigital number, since it uses as much as digits as its factorization.

329135040029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 329135040029 in words is "three hundred twenty-nine billion, one hundred thirty-five million, forty thousand, twenty-nine".