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3330000123313 is a prime number
BaseRepresentation
bin110000011101010011011…
…110010111010110110001
3102210100022102201110201111
4300131103132113112301
5414024320012421223
611025440403233321
7462404336011003
oct60352336272661
912710272643644
103330000123313
111074277290716
12459462378841
131b202ca67a66
14b725c4b6373
155b94aa5330d
hex307537975b1

3330000123313 has 2 divisors, whose sum is σ = 3330000123314. Its totient is φ = 3330000123312.

The previous prime is 3330000123287. The next prime is 3330000123361. The reversal of 3330000123313 is 3133210000333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1864379968929 + 1465620154384 = 1365423^2 + 1210628^2 .

It is a cyclic number.

It is not a de Polignac number, because 3330000123313 - 225 = 3329966568881 is a prime.

It is a super-2 number, since 2×33300001233132 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3330000123713) 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, 1665000061656 + 1665000061657.

It is an arithmetic number, because the mean of its divisors is an integer number (1665000061657).

Almost surely, 23330000123313 is an apocalyptic number.

It is an amenable number.

3330000123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3330000123313 is an equidigital number, since it uses as much as digits as its factorization.

3330000123313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 3330000123313 its reverse (3133210000333), we get a palindrome (6463210123646).

The spelling of 3330000123313 in words is "three trillion, three hundred thirty billion, one hundred twenty-three thousand, three hundred thirteen".