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103365564193 is a prime number
BaseRepresentation
bin110000001000100010…
…0010101011100100001
3100212210201112201101101
41200101010111130201
53143143041023233
6115252510434401
710316331541003
oct1402104253441
9325721481341
10103365564193
113a923191311
1218048b02a01
139993b69548
145008026373
152a4e93dc7d
hex1811115721

103365564193 has 2 divisors, whose sum is σ = 103365564194. Its totient is φ = 103365564192.

The previous prime is 103365564191. The next prime is 103365564251. The reversal of 103365564193 is 391465563301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101536547904 + 1829016289 = 318648^2 + 42767^2 .

It is a cyclic number.

It is not a de Polignac number, because 103365564193 - 21 = 103365564191 is a prime.

Together with 103365564191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (103365564191) 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, 51682782096 + 51682782097.

It is an arithmetic number, because the mean of its divisors is an integer number (51682782097).

Almost surely, 2103365564193 is an apocalyptic number.

It is an amenable number.

103365564193 is a deficient number, since it is larger than the sum of its proper divisors (1).

103365564193 is an equidigital number, since it uses as much as digits as its factorization.

103365564193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 874800, while the sum is 46.

The spelling of 103365564193 in words is "one hundred three billion, three hundred sixty-five million, five hundred sixty-four thousand, one hundred ninety-three".