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21033011317 is a prime number
BaseRepresentation
bin10011100101101010…
…100100100001110101
32000021211022200101011
4103211222210201311
5321033422330232
613355030232221
71343134434463
oct234552444165
960254280334
1021033011317
118a1364a78a
1240abab5671
131ca2702636
141037587833
158317bd547
hex4e5aa4875

21033011317 has 2 divisors, whose sum is σ = 21033011318. Its totient is φ = 21033011316.

The previous prime is 21033011309. The next prime is 21033011323. The reversal of 21033011317 is 71311033012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10630847236 + 10402164081 = 103106^2 + 101991^2 .

It is a cyclic number.

It is not a de Polignac number, because 21033011317 - 23 = 21033011309 is a prime.

It is a super-4 number, since 4×210330113174 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21033011017) 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, 10516505658 + 10516505659.

It is an arithmetic number, because the mean of its divisors is an integer number (10516505659).

Almost surely, 221033011317 is an apocalyptic number.

It is an amenable number.

21033011317 is a deficient number, since it is larger than the sum of its proper divisors (1).

21033011317 is an equidigital number, since it uses as much as digits as its factorization.

21033011317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 21033011317 its reverse (71311033012), we get a palindrome (92344044329).

The spelling of 21033011317 in words is "twenty-one billion, thirty-three million, eleven thousand, three hundred seventeen".