Search a number
-
+
12233310333301 is a prime number
BaseRepresentation
bin1011001000000100101000…
…0111011110100101110101
31121022111022102122001021001
42302001022013132211311
53100412304421131201
642003523304123301
72401553556065611
oct262011207364565
947274272561231
1012233310333301
113997132841482
121456a92a66531
136a9799b63645
14304149a14341
1516333a913301
hexb204a1de975

12233310333301 has 2 divisors, whose sum is σ = 12233310333302. Its totient is φ = 12233310333300.

The previous prime is 12233310333253. The next prime is 12233310333319. The reversal of 12233310333301 is 10333301333221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10555832052676 + 1677478280625 = 3248974^2 + 1295175^2 .

It is a cyclic number.

It is not a de Polignac number, because 12233310333301 - 27 = 12233310333173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12233310333301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12231310333301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116655166650 + 6116655166651.

It is an arithmetic number, because the mean of its divisors is an integer number (6116655166651).

Almost surely, 212233310333301 is an apocalyptic number.

It is an amenable number.

12233310333301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233310333301 is an equidigital number, since it uses as much as digits as its factorization.

12233310333301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 12233310333301 its reverse (10333301333221), we get a palindrome (22566611666522).

The spelling of 12233310333301 in words is "twelve trillion, two hundred thirty-three billion, three hundred ten million, three hundred thirty-three thousand, three hundred one".