Search a number
-
+
10133329 is a prime number
BaseRepresentation
bin100110101001…
…111101010001
3201001211022111
4212221331101
510043231304
61001105321
7152063143
oct46517521
921054274
1010133329
1157a1358
123488241
13213a46b
1414bac93
15d52704
hex9a9f51

10133329 has 2 divisors, whose sum is σ = 10133330. Its totient is φ = 10133328.

The previous prime is 10133303. The next prime is 10133351. The reversal of 10133329 is 92333101.

It is an a-pointer prime, because the next prime (10133351) can be obtained adding 10133329 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10093329 + 40000 = 3177^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133329 - 25 = 10133297 is a prime.

It is not a weakly prime, because it can be changed into another prime (10133359) 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, 5066664 + 5066665.

It is an arithmetic number, because the mean of its divisors is an integer number (5066665).

Almost surely, 210133329 is an apocalyptic number.

It is an amenable number.

10133329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133329 is an equidigital number, since it uses as much as digits as its factorization.

10133329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 10133329 is about 3183.2890223792. The cubic root of 10133329 is about 216.3967402586.

The spelling of 10133329 in words is "ten million, one hundred thirty-three thousand, three hundred twenty-nine".