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2042134313 is a prime number
BaseRepresentation
bin111100110111000…
…0111111100101001
312021022122011122012
41321232013330221
513140241244223
6534350005305
7101414566232
oct17156077451
95238564565
102042134313
1195880580a
1248baa6835
1326710a4cb
14155306089
15be436c78
hex79b87f29

2042134313 has 2 divisors, whose sum is σ = 2042134314. Its totient is φ = 2042134312.

The previous prime is 2042134291. The next prime is 2042134357. The reversal of 2042134313 is 3134312402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1321104409 + 721029904 = 36347^2 + 26852^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042134313 - 26 = 2042134249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2042134363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021067156 + 1021067157.

It is an arithmetic number, because the mean of its divisors is an integer number (1021067157).

Almost surely, 22042134313 is an apocalyptic number.

It is an amenable number.

2042134313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042134313 is an equidigital number, since it uses as much as digits as its factorization.

2042134313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2042134313 is about 45189.9802279222. The cubic root of 2042134313 is about 1268.7072867175.

Adding to 2042134313 its reverse (3134312402), we get a palindrome (5176446715).

The spelling of 2042134313 in words is "two billion, forty-two million, one hundred thirty-four thousand, three hundred thirteen".