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181820000077 is a prime number
BaseRepresentation
bin1010100101010101010…
…0010000011101001101
3122101022100101222222221
42221111110100131031
510434331410000302
6215305453335341
716064445333532
oct2512524203515
9571270358887
10181820000077
1170122717181
122b2a3197551
13141b7a17a81
148b2b7dad89
154ae23b2937
hex2a5551074d

181820000077 has 2 divisors, whose sum is σ = 181820000078. Its totient is φ = 181820000076.

The previous prime is 181820000069. The next prime is 181820000081. The reversal of 181820000077 is 770000028181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175846874281 + 5973125796 = 419341^2 + 77286^2 .

It is a cyclic number.

It is not a de Polignac number, because 181820000077 - 23 = 181820000069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 181819999997 and 181820000051.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181820003077) 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, 90910000038 + 90910000039.

It is an arithmetic number, because the mean of its divisors is an integer number (90910000039).

Almost surely, 2181820000077 is an apocalyptic number.

It is an amenable number.

181820000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

181820000077 is an equidigital number, since it uses as much as digits as its factorization.

181820000077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 34.

The spelling of 181820000077 in words is "one hundred eighty-one billion, eight hundred twenty million, seventy-seven", and thus it is an aban number.