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3414300013 is a prime number
BaseRepresentation
bin1100101110000010…
…0001010101101101
322210221121102010001
43023200201111231
523443030100023
61322444144301
7150416033305
oct31340412555
98727542101
103414300013
1114a2313153
127b3538091
13425491987
14245650605
1514eb2e6ad
hexcb82156d

3414300013 has 2 divisors, whose sum is σ = 3414300014. Its totient is φ = 3414300012.

The previous prime is 3414300011. The next prime is 3414300017. The reversal of 3414300013 is 3100034143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1902878884 + 1511421129 = 43622^2 + 38877^2 .

It is a cyclic number.

It is not a de Polignac number, because 3414300013 - 21 = 3414300011 is a prime.

Together with 3414300011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3414300011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1707150006 + 1707150007.

It is an arithmetic number, because the mean of its divisors is an integer number (1707150007).

Almost surely, 23414300013 is an apocalyptic number.

It is an amenable number.

3414300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3414300013 is an equidigital number, since it uses as much as digits as its factorization.

3414300013 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 3414300013 is about 58432.0118856094. The cubic root of 3414300013 is about 1505.7997703553.

Adding to 3414300013 its reverse (3100034143), we get a palindrome (6514334156).

The spelling of 3414300013 in words is "three billion, four hundred fourteen million, three hundred thousand, thirteen".