Search a number
-
+
330033122233223 is a prime number
BaseRepresentation
bin100101100001010011101001…
…1000000111100101110000111
31121021112212011201222010111212
41023002213103000330232013
5321224230313242430343
63125531042343522035
7126342051301413023
oct11302472300745607
91537485151863455
10330033122233223
1196182296611642
1231022768a5931b
131121ccb3a19c26
145b6d98cb71383
152824dbb3ecc18
hex12c29d303cb87

330033122233223 has 2 divisors, whose sum is σ = 330033122233224. Its totient is φ = 330033122233222.

The previous prime is 330033122233187. The next prime is 330033122233259. The reversal of 330033122233223 is 322332221330033.

It is a balanced prime because it is at equal distance from previous prime (330033122233187) and next prime (330033122233259).

It is a cyclic number.

It is not a de Polignac number, because 330033122233223 - 28 = 330033122232967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330033122233223.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330033122233823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165016561116611 + 165016561116612.

It is an arithmetic number, because the mean of its divisors is an integer number (165016561116612).

Almost surely, 2330033122233223 is an apocalyptic number.

330033122233223 is a deficient number, since it is larger than the sum of its proper divisors (1).

330033122233223 is an equidigital number, since it uses as much as digits as its factorization.

330033122233223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 32.

Adding to 330033122233223 its reverse (322332221330033), we get a palindrome (652365343563256).

The spelling of 330033122233223 in words is "three hundred thirty trillion, thirty-three billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred twenty-three".