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3414313313 is a prime number
BaseRepresentation
bin1100101110000010…
…0100100101100001
322210221122002100122
43023200210211201
523443031011223
61322444330025
7150416120135
oct31340444541
98727562318
103414313313
1114a2322144
127b3543915
13425497a48
142456553c5
1514eb335c8
hexcb824961

3414313313 has 2 divisors, whose sum is σ = 3414313314. Its totient is φ = 3414313312.

The previous prime is 3414313307. The next prime is 3414313321. The reversal of 3414313313 is 3133134143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2563599424 + 850713889 = 50632^2 + 29167^2 .

It is a cyclic number.

It is not a de Polignac number, because 3414313313 - 216 = 3414247777 is a prime.

It is not a weakly prime, because it can be changed into another prime (3414313393) 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, 1707156656 + 1707156657.

It is an arithmetic number, because the mean of its divisors is an integer number (1707156657).

Almost surely, 23414313313 is an apocalyptic number.

It is an amenable number.

3414313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3414313313 is an equidigital number, since it uses as much as digits as its factorization.

3414313313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 26.

The square root of 3414313313 is about 58432.1256929782. The cubic root of 3414313313 is about 1505.8017255741.

Adding to 3414313313 its reverse (3133134143), we get a palindrome (6547447456).

The spelling of 3414313313 in words is "three billion, four hundred fourteen million, three hundred thirteen thousand, three hundred thirteen".