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10413313 is a prime number
BaseRepresentation
bin100111101110…
…010100000001
3201121001101021
4213232110001
510131211223
61011105441
7154340341
oct47562401
921531337
1010413313
115972749
1235a2281
132207a31
141550d21
15daa65d
hex9ee501

10413313 has 2 divisors, whose sum is σ = 10413314. Its totient is φ = 10413312.

The previous prime is 10413307. The next prime is 10413331. The reversal of 10413313 is 31331401.

Together with next prime (10413331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6036849 + 4376464 = 2457^2 + 2092^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10413313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10413373) 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, 5206656 + 5206657.

It is an arithmetic number, because the mean of its divisors is an integer number (5206657).

Almost surely, 210413313 is an apocalyptic number.

It is an amenable number.

10413313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10413313 is an equidigital number, since it uses as much as digits as its factorization.

10413313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 10413313 is about 3226.9665322095. The cubic root of 10413313 is about 218.3716760869.

Adding to 10413313 its reverse (31331401), we get a palindrome (41744714).

The spelling of 10413313 in words is "ten million, four hundred thirteen thousand, three hundred thirteen".