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332133313249 is a prime number
BaseRepresentation
bin1001101010101001011…
…00000010101011100001
31011202021221102110202001
410311110230002223201
520420202112010444
6412325133324001
732665400403343
oct4652454025341
91152257373661
10332133313249
11118947662131
1254452936601
132542117692a
141210aa29293
15898d7308d4
hex4d54b02ae1

332133313249 has 2 divisors, whose sum is σ = 332133313250. Its totient is φ = 332133313248.

The previous prime is 332133313207. The next prime is 332133313271. The reversal of 332133313249 is 942313331233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182726326225 + 149406987024 = 427465^2 + 386532^2 .

It is a cyclic number.

It is not a de Polignac number, because 332133313249 - 211 = 332133311201 is a prime.

It is a super-2 number, since 2×3321333132492 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332133313289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166066656624 + 166066656625.

It is an arithmetic number, because the mean of its divisors is an integer number (166066656625).

Almost surely, 2332133313249 is an apocalyptic number.

It is an amenable number.

332133313249 is a deficient number, since it is larger than the sum of its proper divisors (1).

332133313249 is an equidigital number, since it uses as much as digits as its factorization.

332133313249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 104976, while the sum is 37.

The spelling of 332133313249 in words is "three hundred thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred forty-nine".