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10333011317 is a prime number
BaseRepresentation
bin10011001111110010…
…10011110101110101
3222200010101100202212
421213321103311311
5132130222330232
64425200143205
7514030101266
oct114771236565
928603340685
1010333011317
114422796382
122004607b05
13c889a5aa5
1470048a96d
1540723ceb2
hex267e53d75

10333011317 has 2 divisors, whose sum is σ = 10333011318. Its totient is φ = 10333011316.

The previous prime is 10333011277. The next prime is 10333011331. The reversal of 10333011317 is 71311033301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6027814321 + 4305196996 = 77639^2 + 65614^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333011317 - 214 = 10332994933 is a prime.

It is a super-4 number, since 4×103330113174 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10333011292 and 10333011301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10333061317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5166505658 + 5166505659.

It is an arithmetic number, because the mean of its divisors is an integer number (5166505659).

Almost surely, 210333011317 is an apocalyptic number.

It is an amenable number.

10333011317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333011317 is an equidigital number, since it uses as much as digits as its factorization.

10333011317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 23.

Adding to 10333011317 its reverse (71311033301), we get a palindrome (81644044618).

The spelling of 10333011317 in words is "ten billion, three hundred thirty-three million, eleven thousand, three hundred seventeen".