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332299333992233 is a prime number
BaseRepresentation
bin100101110001110010111011…
…1110000101111111100101001
31121120120111122221012112011002
41023203211313300233330221
5322023343014000222413
63134424112342444345
7126664556162502266
oct11343456760577451
91546514587175132
10332299333992233
11969763a1016113
1231329a067336b5
1311355900c39a9a
145c0b53316826d
152863d055b8958
hex12e3977c2ff29

332299333992233 has 2 divisors, whose sum is σ = 332299333992234. Its totient is φ = 332299333992232.

The previous prime is 332299333992191. The next prime is 332299333992239.

332299333992233 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317044661839504 + 15254672152729 = 17805748^2 + 3905723^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332299333992233 - 26 = 332299333992169 is a prime.

It is a super-2 number, since 2×3322993339922332 (a number of 30 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 332299333992233.

It is not a weakly prime, because it can be changed into another prime (332299333992239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166149666996116 + 166149666996117.

It is an arithmetic number, because the mean of its divisors is an integer number (166149666996117).

Almost surely, 2332299333992233 is an apocalyptic number.

It is an amenable number.

332299333992233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332299333992233 is an equidigital number, since it uses as much as digits as its factorization.

332299333992233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 229582512, while the sum is 65.

The spelling of 332299333992233 in words is "three hundred thirty-two trillion, two hundred ninety-nine billion, three hundred thirty-three million, nine hundred ninety-two thousand, two hundred thirty-three".