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330322311122233 = 19199343325448221
BaseRepresentation
bin100101100011011010010100…
…0000001000000110100111001
31121022120111121210212211000211
41023012310220001000310321
5321244000043121402413
63130311550321231121
7126401666542412353
oct11306645001006471
91538514553784024
10330322311122233
11962839a6164171
123106a8157924a1
131124134cab8031
145b7d9841320d3
15282c6948ce83d
hex12c6d28040d39

330322311122233 has 16 divisors (see below), whose sum is σ = 349556777392000. Its totient is φ = 311273669266560.

The previous prime is 330322311122197. The next prime is 330322311122333. The reversal of 330322311122233 is 332221113223033.

It is not a de Polignac number, because 330322311122233 - 233 = 330313721187641 is a prime.

It is a super-2 number, since 2×3303223111222332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330322311122195 and 330322311122204.

It is not an unprimeable number, because it can be changed into a prime (330322311122333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256063 + ... + 25704283.

It is an arithmetic number, because the mean of its divisors is an integer number (21847298587000).

Almost surely, 2330322311122233 is an apocalyptic number.

It is an amenable number.

330322311122233 is a deficient number, since it is larger than the sum of its proper divisors (19234466269767).

330322311122233 is a wasteful number, since it uses less digits than its factorization.

330322311122233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25451872.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 330322311122233 its reverse (332221113223033), we get a palindrome (662543424345266).

The spelling of 330322311122233 in words is "three hundred thirty trillion, three hundred twenty-two billion, three hundred eleven million, one hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 19 199 3433 3781 65227 683167 12980173 25448221 483516199 5064195979 87363742693 96219723601 1659911111167 17385384795907 330322311122233