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20033103011293 is a prime number
BaseRepresentation
bin1001000111000010100011…
…11111010001110111011101
32121221010221101121201022001
410203201101333101313131
510111210243332330133
6110335025214322301
74135225652666611
oct443412177216735
977833841551261
1020033103011293
116423a9a42a409
1222b66717b9391
13b241624b9698
144d3870845341
1524b19110087d
hex123851fd1ddd

20033103011293 has 2 divisors, whose sum is σ = 20033103011294. Its totient is φ = 20033103011292.

The previous prime is 20033103011291. The next prime is 20033103011359. The reversal of 20033103011293 is 39211030133002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18822174433209 + 1210928578084 = 4338453^2 + 1100422^2 .

It is a cyclic number.

It is not a de Polignac number, because 20033103011293 - 21 = 20033103011291 is a prime.

It is a super-3 number, since 3×200331030112933 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 20033103011291, 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 (20033103011291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10016551505646 + 10016551505647.

It is an arithmetic number, because the mean of its divisors is an integer number (10016551505647).

Almost surely, 220033103011293 is an apocalyptic number.

It is an amenable number.

20033103011293 is a deficient number, since it is larger than the sum of its proper divisors (1).

20033103011293 is an equidigital number, since it uses as much as digits as its factorization.

20033103011293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 20033103011293 its reverse (39211030133002), we get a palindrome (59244133144295).

The spelling of 20033103011293 in words is "twenty trillion, thirty-three billion, one hundred three million, eleven thousand, two hundred ninety-three".