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10100393 is a prime number
BaseRepresentation
bin100110100001…
…111010101001
3201000011010122
4212201322221
510041203033
61000253025
7151565132
oct46417251
921004118
1010100393
115779636
123471175
132128484
1414acc89
15d47a98
hex9a1ea9

10100393 has 2 divisors, whose sum is σ = 10100394. Its totient is φ = 10100392.

The previous prime is 10100383. The next prime is 10100407. The reversal of 10100393 is 39300101.

10100393 is digitally balanced in base 2, 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., 10061584 + 38809 = 3172^2 + 197^2 .

It is an emirp because it is prime and its reverse (39300101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10100333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050196 + 5050197.

It is an arithmetic number, because the mean of its divisors is an integer number (5050197).

Almost surely, 210100393 is an apocalyptic number.

It is an amenable number.

10100393 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100393 is an equidigital number, since it uses as much as digits as its factorization.

10100393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 10100393 is about 3178.1115461859. Note that the first 3 decimals coincide. The cubic root of 10100393 is about 216.1620369076.

Adding to 10100393 its reverse (39300101), we get a palindrome (49400494).

The spelling of 10100393 in words is "ten million, one hundred thousand, three hundred ninety-three".