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10000357 is a prime number
BaseRepresentation
bin100110001001…
…011111100101
3200211001220121
4212021133211
510030002412
6554201541
7151000363
oct46113745
920731817
1010000357
115710464
1234232b1
1320c1a93
141484633
15d28107
hex9897e5

10000357 has 2 divisors, whose sum is σ = 10000358. Its totient is φ = 10000356.

The previous prime is 10000349. The next prime is 10000363. The reversal of 10000357 is 75300001.

10000357 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9897316 + 103041 = 3146^2 + 321^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000357 - 23 = 10000349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000457) 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, 5000178 + 5000179.

It is an arithmetic number, because the mean of its divisors is an integer number (5000179).

Almost surely, 210000357 is an apocalyptic number.

It is an amenable number.

10000357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000357 is an equidigital number, since it uses as much as digits as its factorization.

10000357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10000357 is about 3162.3341063208. The cubic root of 10000357 is about 215.4460327500.

Adding to 10000357 its reverse (75300001), we get a palindrome (85300358).

The spelling of 10000357 in words is "ten million, three hundred fifty-seven", and thus it is an aban number.