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3413014313 is a prime number
BaseRepresentation
bin1100101101101110…
…0111011100101001
322210212012002110112
43023123213130221
523442212424223
61322400424105
7150402100022
oct31333473451
98725162415
103413014313
1114a1615195
127b3018035
134251316c7
142453d7c49
1514e978778
hexcb6e7729

3413014313 has 2 divisors, whose sum is σ = 3413014314. Its totient is φ = 3413014312.

The previous prime is 3413014271. The next prime is 3413014349. The reversal of 3413014313 is 3134103143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2376367504 + 1036646809 = 48748^2 + 32197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3413014313 is a prime.

It is not a weakly prime, because it can be changed into another prime (3413014013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1706507156 + 1706507157.

It is an arithmetic number, because the mean of its divisors is an integer number (1706507157).

Almost surely, 23413014313 is an apocalyptic number.

It is an amenable number.

3413014313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3413014313 is an equidigital number, since it uses as much as digits as its factorization.

3413014313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3413014313 is about 58421.0091747823. The cubic root of 3413014313 is about 1505.6107369939.

Adding to 3413014313 its reverse (3134103143), we get a palindrome (6547117456).

The spelling of 3413014313 in words is "three billion, four hundred thirteen million, fourteen thousand, three hundred thirteen".