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410223313 is a prime number
BaseRepresentation
bin11000011100111…
…000001011010001
31001120220111121001
4120130320023101
51320004121223
6104412302001
713110561223
oct3034701321
91046814531
10410223313
111a0618935
12b5471901
1366cb09b6
143c6a6413
15260329ad
hex187382d1

410223313 has 2 divisors, whose sum is σ = 410223314. Its totient is φ = 410223312.

The previous prime is 410223301. The next prime is 410223337. The reversal of 410223313 is 313322014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 275825664 + 134397649 = 16608^2 + 11593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-410223313 is a prime.

It is not a weakly prime, because it can be changed into another prime (410223383) 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, 205111656 + 205111657.

It is an arithmetic number, because the mean of its divisors is an integer number (205111657).

Almost surely, 2410223313 is an apocalyptic number.

It is an amenable number.

410223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

410223313 is an equidigital number, since it uses as much as digits as its factorization.

410223313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 410223313 is about 20253.9703021408. The cubic root of 410223313 is about 743.0307363381.

Adding to 410223313 its reverse (313322014), we get a palindrome (723545327).

The spelling of 410223313 in words is "four hundred ten million, two hundred twenty-three thousand, three hundred thirteen".