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203753312417 is a prime number
BaseRepresentation
bin1011110111000010100…
…1001101000010100001
3201110220220210201012102
42331300221031002201
511314241321444132
6233334124340145
720502124402544
oct2756051150241
9643826721172
10203753312417
1179458484396
12335a46a4655
13162a1abaab5
149c0c77c85b
155477c1bc62
hex2f70a4d0a1

203753312417 has 2 divisors, whose sum is σ = 203753312418. Its totient is φ = 203753312416.

The previous prime is 203753312401. The next prime is 203753312449. The reversal of 203753312417 is 714213357302.

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., 145045960801 + 58707351616 = 380849^2 + 242296^2 .

It is a cyclic number.

It is not a de Polignac number, because 203753312417 - 24 = 203753312401 is a prime.

It is not a weakly prime, because it can be changed into another prime (203753332417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101876656208 + 101876656209.

It is an arithmetic number, because the mean of its divisors is an integer number (101876656209).

Almost surely, 2203753312417 is an apocalyptic number.

It is an amenable number.

203753312417 is a deficient number, since it is larger than the sum of its proper divisors (1).

203753312417 is an equidigital number, since it uses as much as digits as its factorization.

203753312417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 38.

Adding to 203753312417 its reverse (714213357302), we get a palindrome (917966669719).

The spelling of 203753312417 in words is "two hundred three billion, seven hundred fifty-three million, three hundred twelve thousand, four hundred seventeen".