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11000310031 is a prime number
BaseRepresentation
bin10100011111010101…
…10110100100001111
31001101122000122112001
422033222312210033
5140012034410111
65015314453131
7536412043504
oct121752664417
931348018461
1011000310031
11473542a817
12216bb941a7
1310640057b9
14764d514ab
15445b011c1
hex28fab690f

11000310031 has 2 divisors, whose sum is σ = 11000310032. Its totient is φ = 11000310030.

The previous prime is 11000310029. The next prime is 11000310059. The reversal of 11000310031 is 13001300011.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11000310031 - 21 = 11000310029 is a prime.

It is a super-3 number, since 3×110003100313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 11000310029, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000310001) 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, 5500155015 + 5500155016.

It is an arithmetic number, because the mean of its divisors is an integer number (5500155016).

Almost surely, 211000310031 is an apocalyptic number.

11000310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000310031 is an equidigital number, since it uses as much as digits as its factorization.

11000310031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11000310031 its reverse (13001300011), we get a palindrome (24001610042).

The spelling of 11000310031 in words is "eleven billion, three hundred ten thousand, thirty-one".