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204181682129 is a prime number
BaseRepresentation
bin1011111000101000101…
…1010011011111010001
3201112000202212010222022
42332022023103133101
511321131002312004
6233444430021225
720515545443045
oct2761213233721
9645022763868
10204181682129
1179658266947
12336a4047815
131633c7832b9
149c4d60a025
1554a06362be
hex2f8a2d37d1

204181682129 has 2 divisors, whose sum is σ = 204181682130. Its totient is φ = 204181682128.

The previous prime is 204181682119. The next prime is 204181682197. The reversal of 204181682129 is 921286181402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141917958400 + 62263723729 = 376720^2 + 249527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204181682129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 204181682129.

It is not a weakly prime, because it can be changed into another prime (204181682119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102090841064 + 102090841065.

It is an arithmetic number, because the mean of its divisors is an integer number (102090841065).

Almost surely, 2204181682129 is an apocalyptic number.

It is an amenable number.

204181682129 is a deficient number, since it is larger than the sum of its proper divisors (1).

204181682129 is an equidigital number, since it uses as much as digits as its factorization.

204181682129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 44.

The spelling of 204181682129 in words is "two hundred four billion, one hundred eighty-one million, six hundred eighty-two thousand, one hundred twenty-nine".