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10020208993 is a prime number
BaseRepresentation
bin10010101010100000…
…00100000101100001
3221212022210100122121
421111100010011201
5131010133141433
64334143504241
7503211241204
oct112520040541
927768710577
1010020208993
114282168363
121b378b8081
13c38c44a62
146b0b0393b
153d9a50c2d
hex255404161

10020208993 has 2 divisors, whose sum is σ = 10020208994. Its totient is φ = 10020208992.

The previous prime is 10020208967. The next prime is 10020209153. The reversal of 10020208993 is 39980202001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9982607569 + 37601424 = 99913^2 + 6132^2 .

It is an emirp because it is prime and its reverse (39980202001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10020208993 - 29 = 10020208481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020208903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010104496 + 5010104497.

It is an arithmetic number, because the mean of its divisors is an integer number (5010104497).

Almost surely, 210020208993 is an apocalyptic number.

It is an amenable number.

10020208993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020208993 is an equidigital number, since it uses as much as digits as its factorization.

10020208993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10020208993 in words is "ten billion, twenty million, two hundred eight thousand, nine hundred ninety-three".