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4214340101 is a prime number
BaseRepresentation
bin1111101100110001…
…1011101000000101
3101212201000122210102
43323030123220011
532112332340401
61534103533445
7206302204556
oct37314335005
911781018712
104214340101
111872981104
1299745a285
13522159b8a
142bd9ca32d
15199eb356b
hexfb31ba05

4214340101 has 2 divisors, whose sum is σ = 4214340102. Its totient is φ = 4214340100.

The previous prime is 4214340019. The next prime is 4214340157. The reversal of 4214340101 is 1010434124.

4214340101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4211361025 + 2979076 = 64895^2 + 1726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4214340101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4214340191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2107170050 + 2107170051.

It is an arithmetic number, because the mean of its divisors is an integer number (2107170051).

Almost surely, 24214340101 is an apocalyptic number.

It is an amenable number.

4214340101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4214340101 is an equidigital number, since it uses as much as digits as its factorization.

4214340101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4214340101 is about 64917.9489894744. The cubic root of 4214340101 is about 1615.2628085314.

Adding to 4214340101 its reverse (1010434124), we get a palindrome (5224774225).

The spelling of 4214340101 in words is "four billion, two hundred fourteen million, three hundred forty thousand, one hundred one".