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332123343321233 is a prime number
BaseRepresentation
bin100101110000100000111110…
…1111001100111100010010001
31121112221200101211201010100002
41023201001331321213202101
5322013002101342234413
63134211205123535345
7126646056026462102
oct11341017571474221
91545850354633302
10332123343321233
119690879a95a182
12312bb88b82a555
1311342134b32279
145c02bd9a303a9
15285e454d79958
hex12e107de67891

332123343321233 has 2 divisors, whose sum is σ = 332123343321234. Its totient is φ = 332123343321232.

The previous prime is 332123343321157. The next prime is 332123343321307.

332123343321233 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., 212239939360849 + 119883403960384 = 14568457^2 + 10949128^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332123343321233 is a prime.

It is a super-2 number, since 2×3321233433212332 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332123343326233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166061671660616 + 166061671660617.

It is an arithmetic number, because the mean of its divisors is an integer number (166061671660617).

Almost surely, 2332123343321233 is an apocalyptic number.

It is an amenable number.

332123343321233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332123343321233 is an equidigital number, since it uses as much as digits as its factorization.

332123343321233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 419904, while the sum is 38.

The spelling of 332123343321233 in words is "three hundred thirty-two trillion, one hundred twenty-three billion, three hundred forty-three million, three hundred twenty-one thousand, two hundred thirty-three".