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10038337 is a prime number
BaseRepresentation
bin100110010010…
…110001000001
3200220000000021
4212102301001
510032211322
6555053441
7151216201
oct46226101
920800007
1010038337
115736a51
123441281
13210615a
141494401
15d344c7
hex992c41

10038337 has 2 divisors, whose sum is σ = 10038338. Its totient is φ = 10038336.

The previous prime is 10038331. The next prime is 10038349. The reversal of 10038337 is 73383001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9235521 + 802816 = 3039^2 + 896^2 .

It is an emirp because it is prime and its reverse (73383001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10038337 - 27 = 10038209 is a prime.

It is not a weakly prime, because it can be changed into another prime (10038331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5019168 + 5019169.

It is an arithmetic number, because the mean of its divisors is an integer number (5019169).

Almost surely, 210038337 is an apocalyptic number.

It is an amenable number.

10038337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10038337 is an equidigital number, since it uses as much as digits as its factorization.

10038337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 10038337 is about 3168.3334736104. Note that the first 3 decimals coincide. The cubic root of 10038337 is about 215.7184331343.

The spelling of 10038337 in words is "ten million, thirty-eight thousand, three hundred thirty-seven".