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9993100289 is a prime number
BaseRepresentation
bin10010100111010001…
…01001110000000001
3221210102210002111112
421103220221300001
5130431213202124
64331334453105
7502431644114
oct112350516001
927712702445
109993100289
114268932177
121b2a804195
13c33442ac3
146ab28857b
153d749890e
hex253a29c01

9993100289 has 2 divisors, whose sum is σ = 9993100290. Its totient is φ = 9993100288.

The previous prime is 9993100253. The next prime is 9993100301. The reversal of 9993100289 is 9820013999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8675991025 + 1317109264 = 93145^2 + 36292^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9993100289 is a prime.

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 (9993100219) 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, 4996550144 + 4996550145.

It is an arithmetic number, because the mean of its divisors is an integer number (4996550145).

Almost surely, 29993100289 is an apocalyptic number.

It is an amenable number.

9993100289 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993100289 is an equidigital number, since it uses as much as digits as its factorization.

9993100289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 314928, while the sum is 50.

The square root of 9993100289 is about 99965.4954921947. The cubic root of 9993100289 is about 2153.9390768038.

The spelling of 9993100289 in words is "nine billion, nine hundred ninety-three million, one hundred thousand, two hundred eighty-nine".