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10027304993 is a prime number
BaseRepresentation
bin10010101011010110…
…01000100000100001
3221212211010212112102
421111223020200201
5131013442224433
64334555540145
7503325454226
oct112553104041
927784125472
1010027304993
114286174722
121b3a15a655
13c3a55a884
146b1a2d94d
153da4a34e8
hex255ac8821

10027304993 has 2 divisors, whose sum is σ = 10027304994. Its totient is φ = 10027304992.

The previous prime is 10027304983. The next prime is 10027305047. The reversal of 10027304993 is 39940372001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8732528704 + 1294776289 = 93448^2 + 35983^2 .

It is an emirp because it is prime and its reverse (39940372001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10027304993 - 216 = 10027239457 is a prime.

It is not a weakly prime, because it can be changed into another prime (10027304953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5013652496 + 5013652497.

It is an arithmetic number, because the mean of its divisors is an integer number (5013652497).

Almost surely, 210027304993 is an apocalyptic number.

It is an amenable number.

10027304993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10027304993 is an equidigital number, since it uses as much as digits as its factorization.

10027304993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 38.

Adding to 10027304993 its reverse (39940372001), we get a palindrome (49967676994).

The spelling of 10027304993 in words is "ten billion, twenty-seven million, three hundred four thousand, nine hundred ninety-three".