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103185782066849 is a prime number
BaseRepresentation
bin10111011101100011001111…
…111000101100111010100001
3111112100110112120022122120112
4113131203033320230322201
5102011043440202114344
61003242521024421105
730506632605000236
oct2735431770547241
9445313476278515
10103185782066849
112a972931a24479
12b6a6119777795
1345764ba490401
141b6a30b7c378d
15bde174156c9e
hex5dd8cfe2cea1

103185782066849 has 2 divisors, whose sum is σ = 103185782066850. Its totient is φ = 103185782066848.

The previous prime is 103185782066839. The next prime is 103185782066893. The reversal of 103185782066849 is 948660287581301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69864522250000 + 33321259816849 = 8358500^2 + 5772457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103185782066849 is a prime.

It is not a weakly prime, because it can be changed into another prime (103185782066839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51592891033424 + 51592891033425.

It is an arithmetic number, because the mean of its divisors is an integer number (51592891033425).

It is a 2-persistent number, because it is pandigital, and so is 2⋅103185782066849 = 206371564133698, but 3⋅103185782066849 = 309557346200547 is not.

Almost surely, 2103185782066849 is an apocalyptic number.

It is an amenable number.

103185782066849 is a deficient number, since it is larger than the sum of its proper divisors (1).

103185782066849 is an equidigital number, since it uses as much as digits as its factorization.

103185782066849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139345920, while the sum is 68.

The spelling of 103185782066849 in words is "one hundred three trillion, one hundred eighty-five billion, seven hundred eighty-two million, sixty-six thousand, eight hundred forty-nine".