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10153313 is a prime number
BaseRepresentation
bin100110101110…
…110101100001
3201002211201122
4212232311201
510044401223
61001342025
7152205332
oct46566541
921084648
1010153313
115805375
123497915
1321465a1
1414c4289
15d585c8
hex9aed61

10153313 has 2 divisors, whose sum is σ = 10153314. Its totient is φ = 10153312.

The previous prime is 10153309. The next prime is 10153321. The reversal of 10153313 is 31335101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7879249 + 2274064 = 2807^2 + 1508^2 .

It is a cyclic number.

It is not a de Polignac number, because 10153313 - 22 = 10153309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10153291 and 10153300.

It is not a weakly prime, because it can be changed into another prime (10153303) 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, 5076656 + 5076657.

It is an arithmetic number, because the mean of its divisors is an integer number (5076657).

Almost surely, 210153313 is an apocalyptic number.

It is an amenable number.

10153313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10153313 is an equidigital number, since it uses as much as digits as its factorization.

10153313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 10153313 is about 3186.4263682062. The cubic root of 10153313 is about 216.5388992929.

Adding to 10153313 its reverse (31335101), we get a palindrome (41488414).

The spelling of 10153313 in words is "ten million, one hundred fifty-three thousand, three hundred thirteen".