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9985000241 is a prime number
BaseRepresentation
bin10010100110010011…
…10000001100110001
3221202212112120022202
421103021300030301
5130422130001431
64330445112545
7502303046606
oct112311601461
927685476282
109985000241
1142642aa517
121b27b58755
13c31867c88
146aa17a6ad
153d68e88cb
hex253270331

9985000241 has 2 divisors, whose sum is σ = 9985000242. Its totient is φ = 9985000240.

The previous prime is 9985000229. The next prime is 9985000253. The reversal of 9985000241 is 1420005899.

It is a balanced prime because it is at equal distance from previous prime (9985000229) and next prime (9985000253).

It can be written as a sum of positive squares in only one way, i.e., 9629300641 + 355699600 = 98129^2 + 18860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9985000241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9985000195 and 9985000204.

It is not a weakly prime, because it can be changed into another prime (9985000261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4992500120 + 4992500121.

It is an arithmetic number, because the mean of its divisors is an integer number (4992500121).

Almost surely, 29985000241 is an apocalyptic number.

It is an amenable number.

9985000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

9985000241 is an equidigital number, since it uses as much as digits as its factorization.

9985000241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 9985000241 is about 99924.9730597912. The cubic root of 9985000241 is about 2153.3569509535.

The spelling of 9985000241 in words is "nine billion, nine hundred eighty-five million, two hundred forty-one", and thus it is an aban number.