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332243232043141 is a prime number
BaseRepresentation
bin100101110001011000110011…
…1110100110011000010000101
31121120101010212002111012222201
41023202301213310303002011
5322021433114400340031
63134342233403154501
7126660532005010426
oct11342614764630205
91546333762435881
10332243232043141
1196954621a1a431
123131ab6a215a31
131135052cc575c3
145c0893028b64d
15286262019dd61
hex12e2c67d33085

332243232043141 has 2 divisors, whose sum is σ = 332243232043142. Its totient is φ = 332243232043140.

The previous prime is 332243232043139. The next prime is 332243232043211. The reversal of 332243232043141 is 141340232342233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 323556595807041 + 8686636236100 = 17987679^2 + 2947310^2 .

It is a cyclic number.

It is not a de Polignac number, because 332243232043141 - 21 = 332243232043139 is a prime.

It is a super-2 number, since 2×3322432320431412 (a number of 30 digits) contains 22 as substring.

Together with 332243232043139, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 332243232043141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332243232047141) 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, 166121616021570 + 166121616021571.

It is an arithmetic number, because the mean of its divisors is an integer number (166121616021571).

Almost surely, 2332243232043141 is an apocalyptic number.

It is an amenable number.

332243232043141 is a deficient number, since it is larger than the sum of its proper divisors (1).

332243232043141 is an equidigital number, since it uses as much as digits as its factorization.

332243232043141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 332243232043141 its reverse (141340232342233), we get a palindrome (473583464385374).

The spelling of 332243232043141 in words is "three hundred thirty-two trillion, two hundred forty-three billion, two hundred thirty-two million, forty-three thousand, one hundred forty-one".