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4214331013 is a prime number
BaseRepresentation
bin1111101100110001…
…1001011010000101
3101212201000012022211
43323030121122011
532112332043023
61534103423421
7206302136224
oct37314313205
911781005284
104214331013
1118729752a2
12997454b71
135221559b9
142bd9c6cbb
15199eb0a0d
hexfb319685

4214331013 has 2 divisors, whose sum is σ = 4214331014. Its totient is φ = 4214331012.

The previous prime is 4214330977. The next prime is 4214331019. The reversal of 4214331013 is 3101334124.

4214331013 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., 3066612129 + 1147718884 = 55377^2 + 33878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4214331013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4214331019) 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, 2107165506 + 2107165507.

It is an arithmetic number, because the mean of its divisors is an integer number (2107165507).

Almost surely, 24214331013 is an apocalyptic number.

It is an amenable number.

4214331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4214331013 is an equidigital number, since it uses as much as digits as its factorization.

4214331013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4214331013 is about 64917.8789933867. The cubic root of 4214331013 is about 1615.2616474545.

Adding to 4214331013 its reverse (3101334124), we get a palindrome (7315665137).

The spelling of 4214331013 in words is "four billion, two hundred fourteen million, three hundred thirty-one thousand, thirteen".