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331002000223289 is a prime number
BaseRepresentation
bin100101101000010110110100…
…0101001001010110000111001
31121101222111000111211122100022
41023100231220221022300321
5321341114044024121124
63131552115241420225
7126502051063430153
oct11320555051126071
91541874014748308
10331002000223289
1196516183a1586a
123115a4a419a675
131129047c334775
145ba4821b41ad3
1528401c57a7c5e
hex12d0b68a4ac39

331002000223289 has 2 divisors, whose sum is σ = 331002000223290. Its totient is φ = 331002000223288.

The previous prime is 331002000223267. The next prime is 331002000223303. The reversal of 331002000223289 is 982322000200133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319694686080064 + 11307314143225 = 17880008^2 + 3362635^2 .

It is a cyclic number.

It is not a de Polignac number, because 331002000223289 - 224 = 331001983446073 is a prime.

It is a super-2 number, since 2×3310020002232892 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331002000223249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501000111644 + 165501000111645.

It is an arithmetic number, because the mean of its divisors is an integer number (165501000111645).

Almost surely, 2331002000223289 is an apocalyptic number.

It is an amenable number.

331002000223289 is a deficient number, since it is larger than the sum of its proper divisors (1).

331002000223289 is an equidigital number, since it uses as much as digits as its factorization.

331002000223289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 331002000223289 in words is "three hundred thirty-one trillion, two billion, two hundred twenty-three thousand, two hundred eighty-nine".