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214121303281 is a prime number
BaseRepresentation
bin1100011101101010011…
…1111100110011110001
3202110200111000012220001
43013122213330303301
512002010023201111
6242211014350001
721320061022264
oct3073247746361
9673614005801
10214121303281
1182898991386
12355b895b301
1317264ac0232
14a513732cdb
1558830691c1
hex31da9fccf1

214121303281 has 2 divisors, whose sum is σ = 214121303282. Its totient is φ = 214121303280.

The previous prime is 214121303273. The next prime is 214121303371. The reversal of 214121303281 is 182303121412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206493901056 + 7627402225 = 454416^2 + 87335^2 .

It is a cyclic number.

It is not a de Polignac number, because 214121303281 - 23 = 214121303273 is a prime.

It is a super-2 number, since 2×2141213032812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214121303381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107060651640 + 107060651641.

It is an arithmetic number, because the mean of its divisors is an integer number (107060651641).

Almost surely, 2214121303281 is an apocalyptic number.

It is an amenable number.

214121303281 is a deficient number, since it is larger than the sum of its proper divisors (1).

214121303281 is an equidigital number, since it uses as much as digits as its factorization.

214121303281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 214121303281 its reverse (182303121412), we get a palindrome (396424424693).

The spelling of 214121303281 in words is "two hundred fourteen billion, one hundred twenty-one million, three hundred three thousand, two hundred eighty-one".