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200201310232289 is a prime number
BaseRepresentation
bin101101100001010011111111…
…111110101101111011100001
3222020212001120112100102212122
4231201103333332231323201
5202220044240404413124
61545443113502234025
760112032046126652
oct5541237776557341
9866761515312778
10200201310232289
1158876998430453
121a554431885915
138792b96b89522
143761b1bb2b529
151822a6757575e
hexb614fffadee1

200201310232289 has 2 divisors, whose sum is σ = 200201310232290. Its totient is φ = 200201310232288.

The previous prime is 200201310232243. The next prime is 200201310232309. The reversal of 200201310232289 is 982232013102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199557437190400 + 643873041889 = 14126480^2 + 802417^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201310232289 - 212 = 200201310228193 is a prime.

It is a super-2 number, since 2×2002013102322892 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (200201310232219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100655116144 + 100100655116145.

It is an arithmetic number, because the mean of its divisors is an integer number (100100655116145).

Almost surely, 2200201310232289 is an apocalyptic number.

It is an amenable number.

200201310232289 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201310232289 is an equidigital number, since it uses as much as digits as its factorization.

200201310232289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 200201310232289 in words is "two hundred trillion, two hundred one billion, three hundred ten million, two hundred thirty-two thousand, two hundred eighty-nine".