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10288381 is a prime number
BaseRepresentation
bin100111001111…
…110011111101
3201100201000011
4213033303331
510113212011
61004303221
7153310165
oct47176375
921321004
1010288381
1158978a4
123541b11
132192bcc
14151b5a5
15d83621
hex9cfcfd

10288381 has 2 divisors, whose sum is σ = 10288382. Its totient is φ = 10288380.

The previous prime is 10288379. The next prime is 10288393. The reversal of 10288381 is 18388201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9865881 + 422500 = 3141^2 + 650^2 .

It is a cyclic number.

It is not a de Polignac number, because 10288381 - 21 = 10288379 is a prime.

It is a super-2 number, since 2×102883812 = 211701567202322, which contains 22 as substring.

Together with 10288379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10288351) 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, 5144190 + 5144191.

It is an arithmetic number, because the mean of its divisors is an integer number (5144191).

Almost surely, 210288381 is an apocalyptic number.

It is an amenable number.

10288381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10288381 is an equidigital number, since it uses as much as digits as its factorization.

10288381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 10288381 is about 3207.5506231391. The cubic root of 10288381 is about 217.4948675408.

It can be divided in two parts, 1028 and 8381, that added together give a square (9409 = 972).

The spelling of 10288381 in words is "ten million, two hundred eighty-eight thousand, three hundred eighty-one".