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214141337 is a prime number
BaseRepresentation
bin11001100001110…
…00100110011001
3112220221111200122
430300320212121
5414310010322
633125443025
75210112524
oct1460704631
9486844618
10214141337
11aa971613
125b870475
1335498b67
1420623bbb
1513bee442
hexcc38999

214141337 has 2 divisors, whose sum is σ = 214141338. Its totient is φ = 214141336.

The previous prime is 214141309. The next prime is 214141349. The reversal of 214141337 is 733141412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113720896 + 100420441 = 10664^2 + 10021^2 .

It is a cyclic number.

It is not a de Polignac number, because 214141337 - 222 = 209947033 is a prime.

It is not a weakly prime, because it can be changed into another prime (214141637) 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, 107070668 + 107070669.

It is an arithmetic number, because the mean of its divisors is an integer number (107070669).

Almost surely, 2214141337 is an apocalyptic number.

It is an amenable number.

214141337 is a deficient number, since it is larger than the sum of its proper divisors (1).

214141337 is an equidigital number, since it uses as much as digits as its factorization.

214141337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 26.

The square root of 214141337 is about 14633.5688401702. The cubic root of 214141337 is about 598.2740556950.

Adding to 214141337 its reverse (733141412), we get a palindrome (947282749).

The spelling of 214141337 in words is "two hundred fourteen million, one hundred forty-one thousand, three hundred thirty-seven".