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819381029 is a prime number
BaseRepresentation
bin110000110101101…
…100001100100101
32010002210212110112
4300311230030211
53134230143104
6213150102405
726206423655
oct6065541445
92102725415
10819381029
11390579105
121aa4aaa05
131009aa65c
147ab72365
154be0486e
hex30d6c325

819381029 has 2 divisors, whose sum is σ = 819381030. Its totient is φ = 819381028.

The previous prime is 819381001. The next prime is 819381041. The reversal of 819381029 is 920183918.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 661878529 + 157502500 = 25727^2 + 12550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-819381029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (819383029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409690514 + 409690515.

It is an arithmetic number, because the mean of its divisors is an integer number (409690515).

Almost surely, 2819381029 is an apocalyptic number.

It is an amenable number.

819381029 is a deficient number, since it is larger than the sum of its proper divisors (1).

819381029 is an equidigital number, since it uses as much as digits as its factorization.

819381029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 819381029 is about 28624.8323837887. The cubic root of 819381029 is about 935.7545945902.

The spelling of 819381029 in words is "eight hundred nineteen million, three hundred eighty-one thousand, twenty-nine".