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12348321093 = 3217217937039
BaseRepresentation
bin10111000000000010…
…00110110101000101
31011212120112201001200
423200001012311011
5200242132233333
65401151213113
7615000666063
oct134001066505
934776481050
1012348321093
11526733a449
122487517199
13121a380794
14851dad033
154c4126c13
hex2e0046d45

12348321093 has 24 divisors (see below), whose sum is σ = 18894844800. Its totient is φ = 7744201344.

The previous prime is 12348321077. The next prime is 12348321119. The reversal of 12348321093 is 39012384321.

12348321093 is a `hidden beast` number, since 12 + 348 + 3 + 210 + 93 = 666.

It is not a de Polignac number, because 12348321093 - 24 = 12348321077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348321053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314868 + ... + 351906.

It is an arithmetic number, because the mean of its divisors is an integer number (787285200).

Almost surely, 212348321093 is an apocalyptic number.

It is an amenable number.

12348321093 is a deficient number, since it is larger than the sum of its proper divisors (6546523707).

12348321093 is a wasteful number, since it uses less digits than its factorization.

12348321093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39241 (or 39238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 12348321093 its sum of digits (36), we get a square (12348321129 = 1111232).

The spelling of 12348321093 in words is "twelve billion, three hundred forty-eight million, three hundred twenty-one thousand, ninety-three".

Divisors: 1 3 9 17 51 153 2179 6537 19611 37039 37043 111117 111129 333351 333387 629663 1888989 5666967 80707981 242123943 726371829 1372035677 4116107031 12348321093