Search a number
-
+
12103213122233 is a prime number
BaseRepresentation
bin1011000000011111111110…
…1110000000001010111001
31120212001111201202222010022
42300013333232000022321
53041244340024402413
641424050033300225
72356266622043222
oct260077756001271
946761451688108
1012103213122233
113946a42306222
121435825704675
1369a435ab388c
142dbb27682249
1515ec7429b608
hexb01ffb802b9

12103213122233 has 2 divisors, whose sum is σ = 12103213122234. Its totient is φ = 12103213122232.

The previous prime is 12103213122229. The next prime is 12103213122239. The reversal of 12103213122233 is 33222131230121.

12103213122233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6975741992569 + 5127471129664 = 2641163^2 + 2264392^2 .

It is an emirp because it is prime and its reverse (33222131230121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12103213122233 - 22 = 12103213122229 is a prime.

It is a super-3 number, since 3×121032131222333 (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12103213122239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051606561116 + 6051606561117.

It is an arithmetic number, because the mean of its divisors is an integer number (6051606561117).

Almost surely, 212103213122233 is an apocalyptic number.

It is an amenable number.

12103213122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12103213122233 is an equidigital number, since it uses as much as digits as its factorization.

12103213122233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12103213122233 its reverse (33222131230121), we get a palindrome (45325344352354).

The spelling of 12103213122233 in words is "twelve trillion, one hundred three billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred thirty-three".