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9982828282033 is a prime number
BaseRepresentation
bin1001000101000100111011…
…1011110000000010110001
31022100100102110121121011001
42101101032323300002301
52302024313020011113
633122014211322001
72050143535220515
oct221211673600261
938310373547131
109982828282033
1131a976a34a172
1211528a4bb0301
135754b8700b69
14267258710145
15124a2264b7dd
hex9144eef00b1

9982828282033 has 2 divisors, whose sum is σ = 9982828282034. Its totient is φ = 9982828282032.

The previous prime is 9982828281983. The next prime is 9982828282043. The reversal of 9982828282033 is 3302828282899.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9406660752784 + 576167529249 = 3067028^2 + 759057^2 .

It is a cyclic number.

It is not a de Polignac number, because 9982828282033 - 29 = 9982828281521 is a prime.

It is a super-2 number, since 2×99828282820332 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9982828282043) 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, 4991414141016 + 4991414141017.

It is an arithmetic number, because the mean of its divisors is an integer number (4991414141017).

Almost surely, 29982828282033 is an apocalyptic number.

It is an amenable number.

9982828282033 is a deficient number, since it is larger than the sum of its proper divisors (1).

9982828282033 is an equidigital number, since it uses as much as digits as its factorization.

9982828282033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47775744, while the sum is 64.

The spelling of 9982828282033 in words is "nine trillion, nine hundred eighty-two billion, eight hundred twenty-eight million, two hundred eighty-two thousand, thirty-three".