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199213312313 is a prime number
BaseRepresentation
bin1011100110001000001…
…0011110100100111001
3201001012111222210212102
42321202002132210321
511230442101443223
6231303424353145
720251456133621
oct2714202364471
9631174883772
10199213312313
11775387a3094
12327381757b5
1315a2a34a6c2
1498db81d881
1552ae37b928
hex2e6209e939

199213312313 has 2 divisors, whose sum is σ = 199213312314. Its totient is φ = 199213312312.

The previous prime is 199213312271. The next prime is 199213312339. The reversal of 199213312313 is 313213312991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173412279184 + 25801033129 = 416428^2 + 160627^2 .

It is a cyclic number.

It is not a de Polignac number, because 199213312313 - 214 = 199213295929 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 (199213312213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99606656156 + 99606656157.

It is an arithmetic number, because the mean of its divisors is an integer number (99606656157).

Almost surely, 2199213312313 is an apocalyptic number.

It is an amenable number.

199213312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

199213312313 is an equidigital number, since it uses as much as digits as its factorization.

199213312313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26244, while the sum is 38.

The spelling of 199213312313 in words is "one hundred ninety-nine billion, two hundred thirteen million, three hundred twelve thousand, three hundred thirteen".