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20312110033 is a prime number
BaseRepresentation
bin10010111010101100…
…100011001111010001
31221102120211002201121
4102322230203033101
5313044400010113
613155315002241
71316232041455
oct227254431721
957376732647
1020312110033
1186837249a6
123b2a599381
131bb9255827
14da992c665
157dd36ce8d
hex4bab233d1

20312110033 has 2 divisors, whose sum is σ = 20312110034. Its totient is φ = 20312110032.

The previous prime is 20312110031. The next prime is 20312110057. The reversal of 20312110033 is 33001121302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14778535489 + 5533574544 = 121567^2 + 74388^2 .

It is a cyclic number.

It is not a de Polignac number, because 20312110033 - 21 = 20312110031 is a prime.

It is a super-3 number, since 3×203121100333 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 20312110031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 20312109989 and 20312110016.

It is not a weakly prime, because it can be changed into another prime (20312110031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10156055016 + 10156055017.

It is an arithmetic number, because the mean of its divisors is an integer number (10156055017).

Almost surely, 220312110033 is an apocalyptic number.

It is an amenable number.

20312110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

20312110033 is an equidigital number, since it uses as much as digits as its factorization.

20312110033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20312110033 its reverse (33001121302), we get a palindrome (53313231335).

The spelling of 20312110033 in words is "twenty billion, three hundred twelve million, one hundred ten thousand, thirty-three".