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9890001013 is a prime number
BaseRepresentation
bin10010011010111110…
…10111000001110101
3221112020210002212211
421031133113001311
5130223320013023
64313213013421
7500040423124
oct111537270165
927466702784
109890001013
114215714162
121b00184271
13c17c85709
1469b6cbabb
153cd3d0a0d
hex24d7d7075

9890001013 has 2 divisors, whose sum is σ = 9890001014. Its totient is φ = 9890001012.

The previous prime is 9890000977. The next prime is 9890001061. The reversal of 9890001013 is 3101000989.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8771633649 + 1118367364 = 93657^2 + 33442^2 .

It is a cyclic number.

It is not a de Polignac number, because 9890001013 - 29 = 9890000501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9890001113) 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, 4945000506 + 4945000507.

It is an arithmetic number, because the mean of its divisors is an integer number (4945000507).

Almost surely, 29890001013 is an apocalyptic number.

It is an amenable number.

9890001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9890001013 is an equidigital number, since it uses as much as digits as its factorization.

9890001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 9890001013 is about 99448.4842167039. The cubic root of 9890001013 is about 2146.5060259594.

The spelling of 9890001013 in words is "nine billion, eight hundred ninety million, one thousand, thirteen".