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12333010313 = 131019393001
BaseRepresentation
bin10110111110001101…
…01100110110001001
31011211111201211121202
423133012230312021
5200224222312223
65355443113545
7614423600201
oct133706546611
934744654552
1012333010313
115259732208
1224823728b5
13121714c850
1484dd45401
154c2b00428
hex2df1acd89

12333010313 has 8 divisors (see below), whose sum is σ = 13413206856. Its totient is φ = 11271600000.

The previous prime is 12333010303. The next prime is 12333010337. The reversal of 12333010313 is 31301033321.

It can be written as a sum of positive squares in 4 ways, for example, as 692110864 + 11640899449 = 26308^2 + 107893^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12333010313 - 210 = 12333009289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12333010303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4695188 + ... + 4697813.

It is an arithmetic number, because the mean of its divisors is an integer number (1676650857).

Almost surely, 212333010313 is an apocalyptic number.

12333010313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12333010313 is a deficient number, since it is larger than the sum of its proper divisors (1080196543).

12333010313 is a wasteful number, since it uses less digits than its factorization.

12333010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393115.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 12333010313 its reverse (31301033321), we get a palindrome (43634043634).

The spelling of 12333010313 in words is "twelve billion, three hundred thirty-three million, ten thousand, three hundred thirteen".

Divisors: 1 13 101 1313 9393001 122109013 948693101 12333010313