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214142241337 is a prime number
BaseRepresentation
bin1100011101101111011…
…1110100101000111001
3202110201221101222111121
43013123313310220321
512002030403210322
6242213043225241
721320434006213
oct3073367645071
9673657358447
10214142241337
11828a9792462
1235603978221
131726924160b
14a5164235b3
155884d02ec7
hex31dbdf4a39

214142241337 has 2 divisors, whose sum is σ = 214142241338. Its totient is φ = 214142241336.

The previous prime is 214142241331. The next prime is 214142241427. The reversal of 214142241337 is 733142241412.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214062603561 + 79637776 = 462669^2 + 8924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214142241337 is a prime.

It is not a weakly prime, because it can be changed into another prime (214142241331) 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, 107071120668 + 107071120669.

It is an arithmetic number, because the mean of its divisors is an integer number (107071120669).

Almost surely, 2214142241337 is an apocalyptic number.

It is an amenable number.

214142241337 is a deficient number, since it is larger than the sum of its proper divisors (1).

214142241337 is an equidigital number, since it uses as much as digits as its factorization.

214142241337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 34.

Adding to 214142241337 its reverse (733142241412), we get a palindrome (947284482749).

The spelling of 214142241337 in words is "two hundred fourteen billion, one hundred forty-two million, two hundred forty-one thousand, three hundred thirty-seven".