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209303902081 is a prime number
BaseRepresentation
bin1100001011101101111…
…1000001011110000001
3202000020202012212210101
43002323133001132001
511412123244331311
6240053005002401
721056513545651
oct3027337013601
9660222185711
10209303902081
118084666157a
1234693553401
1316977a35391
14a1b7a04361
1556a0180ec1
hex30bb7c1781

209303902081 has 2 divisors, whose sum is σ = 209303902082. Its totient is φ = 209303902080.

The previous prime is 209303902051. The next prime is 209303902123. The reversal of 209303902081 is 180209303902.

209303902081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141933027600 + 67370874481 = 376740^2 + 259559^2 .

It is a cyclic number.

It is not a de Polignac number, because 209303902081 - 27 = 209303901953 is a prime.

It is a super-2 number, since 2×2093039020812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 209303902081.

It is not a weakly prime, because it can be changed into another prime (209303902021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104651951040 + 104651951041.

It is an arithmetic number, because the mean of its divisors is an integer number (104651951041).

Almost surely, 2209303902081 is an apocalyptic number.

It is an amenable number.

209303902081 is a deficient number, since it is larger than the sum of its proper divisors (1).

209303902081 is an equidigital number, since it uses as much as digits as its factorization.

209303902081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 209303902081 in words is "two hundred nine billion, three hundred three million, nine hundred two thousand, eighty-one".