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12023102002033 is a prime number
BaseRepresentation
bin1010111011110101100010…
…1110010101001101110001
31120120101201122120101212101
42232331120232111031301
53033441303103031113
641323200430100401
72350432450543063
oct256753056251561
946511648511771
1012023102002033
113915a72702971
1214221a864a701
13692a09943885
142d7cc7c5d733
1515cb3617d2dd
hexaef58b95371

12023102002033 has 2 divisors, whose sum is σ = 12023102002034. Its totient is φ = 12023102002032.

The previous prime is 12023102002031. The next prime is 12023102002049. The reversal of 12023102002033 is 33020020132021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8276024268864 + 3747077733169 = 2876808^2 + 1935737^2 .

It is a cyclic number.

It is not a de Polignac number, because 12023102002033 - 21 = 12023102002031 is a prime.

It is a super-3 number, since 3×120231020020333 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 12023102002031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12023102002033.

It is not a weakly prime, because it can be changed into another prime (12023102002031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6011551001016 + 6011551001017.

It is an arithmetic number, because the mean of its divisors is an integer number (6011551001017).

Almost surely, 212023102002033 is an apocalyptic number.

It is an amenable number.

12023102002033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12023102002033 is an equidigital number, since it uses as much as digits as its factorization.

12023102002033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12023102002033 its reverse (33020020132021), we get a palindrome (45043122134054).

The spelling of 12023102002033 in words is "twelve trillion, twenty-three billion, one hundred two million, two thousand, thirty-three".