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102000077 is a prime number
BaseRepresentation
bin1100001010001…
…10010111001101
321002221010210122
412011012113031
5202103000302
614042114325
72345662214
oct605062715
9232833718
10102000077
1152638193
122a1ab9a5
1318193c9a
14d79207b
158e4c3a2
hex61465cd

102000077 has 2 divisors, whose sum is σ = 102000078. Its totient is φ = 102000076.

The previous prime is 102000071. The next prime is 102000109. The reversal of 102000077 is 770000201.

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., 99420841 + 2579236 = 9971^2 + 1606^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000077 - 24 = 102000061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000071) 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, 51000038 + 51000039.

It is an arithmetic number, because the mean of its divisors is an integer number (51000039).

Almost surely, 2102000077 is an apocalyptic number.

It is an amenable number.

102000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000077 is an equidigital number, since it uses as much as digits as its factorization.

102000077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 102000077 is about 10099.5087504294. The cubic root of 102000077 is about 467.2329904072.

Adding to 102000077 its reverse (770000201), we get a palindrome (872000278).

The spelling of 102000077 in words is "one hundred two million, seventy-seven", and thus it is an aban number.