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10080253 is a prime number
BaseRepresentation
bin100110011100…
…111111111101
3200222010111201
4212130333331
510040032003
61000015501
7151452331
oct46347775
920863451
1010080253
115765497
123461591
13211c261
1414a57c1
15d41b1d
hex99cffd

10080253 has 2 divisors, whose sum is σ = 10080254. Its totient is φ = 10080252.

The previous prime is 10080251. The next prime is 10080277. The reversal of 10080253 is 35208001.

It is a happy number.

10080253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7851204 + 2229049 = 2802^2 + 1493^2 .

It is a cyclic number.

It is not a de Polignac number, because 10080253 - 21 = 10080251 is a prime.

It is a super-2 number, since 2×100802532 = 203223001088018, which contains 22 as substring.

Together with 10080251, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10080253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10080251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5040126 + 5040127.

It is an arithmetic number, because the mean of its divisors is an integer number (5040127).

Almost surely, 210080253 is an apocalyptic number.

It is an amenable number.

10080253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10080253 is an equidigital number, since it uses as much as digits as its factorization.

10080253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10080253 is about 3174.9414167824. The cubic root of 10080253 is about 216.0182669165.

Adding to 10080253 its reverse (35208001), we get a palindrome (45288254).

The spelling of 10080253 in words is "ten million, eighty thousand, two hundred fifty-three".