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9997000213 is a prime number
BaseRepresentation
bin10010100111101111…
…00001111000010101
3221210201010020012011
421103313201320111
5130433213001323
64331554224221
7502510046134
oct112367417025
927721106164
109997000213
114270056252
121b2bb85071
13c341a9c55
146ab9c191b
153d79b920d
hex253de1e15

9997000213 has 2 divisors, whose sum is σ = 9997000214. Its totient is φ = 9997000212.

The previous prime is 9997000183. The next prime is 9997000217. The reversal of 9997000213 is 3120007999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6370913124 + 3626087089 = 79818^2 + 60217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9997000213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9997000217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4998500106 + 4998500107.

It is an arithmetic number, because the mean of its divisors is an integer number (4998500107).

Almost surely, 29997000213 is an apocalyptic number.

It is an amenable number.

9997000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

9997000213 is an equidigital number, since it uses as much as digits as its factorization.

9997000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 9997000213 is about 99984.9999399910. Note that the first 4 decimals coincide. The cubic root of 9997000213 is about 2154.2192403145.

The spelling of 9997000213 in words is "nine billion, nine hundred ninety-seven million, two hundred thirteen", and thus it is an aban number.