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819132133 is a prime number
BaseRepresentation
bin110000110100101…
…111011011100101
32010002100020001011
4300310233123211
53134144212013
6213140502221
726204336221
oct6064573345
92102306034
10819132133
11390419106
121aa3aa971
13100921291
147ab09781
154bda5c3d
hex30d2f6e5

819132133 has 2 divisors, whose sum is σ = 819132134. Its totient is φ = 819132132.

The previous prime is 819132113. The next prime is 819132137. The reversal of 819132133 is 331231918.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 692637124 + 126495009 = 26318^2 + 11247^2 .

It is a cyclic number.

It is not a de Polignac number, because 819132133 - 25 = 819132101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 819132095 and 819132104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (819132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409566066 + 409566067.

It is an arithmetic number, because the mean of its divisors is an integer number (409566067).

Almost surely, 2819132133 is an apocalyptic number.

It is an amenable number.

819132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

819132133 is an equidigital number, since it uses as much as digits as its factorization.

819132133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 31.

The square root of 819132133 is about 28620.4844997425. The cubic root of 819132133 is about 935.6598364114.

The spelling of 819132133 in words is "eight hundred nineteen million, one hundred thirty-two thousand, one hundred thirty-three".