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10130033 is a prime number
BaseRepresentation
bin100110101001…
…001001110001
3201001122210102
4212221021301
510043130113
61001042145
7152050424
oct46511161
921048712
1010130033
115799931
123486355
132138b04
1414b99bb
15d51758
hex9a9271

10130033 has 2 divisors, whose sum is σ = 10130034. Its totient is φ = 10130032.

The previous prime is 10130023. The next prime is 10130039. The reversal of 10130033 is 33003101.

10130033 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., 9412624 + 717409 = 3068^2 + 847^2 .

It is an emirp because it is prime and its reverse (33003101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10130033 - 24 = 10130017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10129996 and 10130023.

It is not a weakly prime, because it can be changed into another prime (10130039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065016 + 5065017.

It is an arithmetic number, because the mean of its divisors is an integer number (5065017).

Almost surely, 210130033 is an apocalyptic number.

It is an amenable number.

10130033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130033 is an equidigital number, since it uses as much as digits as its factorization.

10130033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 10130033 is about 3182.7712767335. The cubic root of 10130033 is about 216.3732757420.

Adding to 10130033 its reverse (33003101), we get a palindrome (43133134).

The spelling of 10130033 in words is "ten million, one hundred thirty thousand, thirty-three".