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9987214201 is a prime number
BaseRepresentation
bin10010100110100100…
…01100101101111001
3221210000201001022021
421103102030231321
5130423211323301
64331004354441
7502330630366
oct112322145571
927700631267
109987214201
114265581938
121b28845a21
13c32161903
146aa59546d
153d6bd48a1
hex25348cb79

9987214201 has 2 divisors, whose sum is σ = 9987214202. Its totient is φ = 9987214200.

The previous prime is 9987214163. The next prime is 9987214229. The reversal of 9987214201 is 1024127899.

It is a happy number.

9987214201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9534546025 + 452668176 = 97645^2 + 21276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9987214201 is a prime.

It is not a weakly prime, because it can be changed into another prime (9987215201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4993607100 + 4993607101.

It is an arithmetic number, because the mean of its divisors is an integer number (4993607101).

Almost surely, 29987214201 is an apocalyptic number.

It is an amenable number.

9987214201 is a deficient number, since it is larger than the sum of its proper divisors (1).

9987214201 is an equidigital number, since it uses as much as digits as its factorization.

9987214201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 9987214201 is about 99936.0505573439. The cubic root of 9987214201 is about 2153.5160927904.

The spelling of 9987214201 in words is "nine billion, nine hundred eighty-seven million, two hundred fourteen thousand, two hundred one".