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12233022313 = 314383110567
BaseRepresentation
bin10110110010010010…
…10001101101101001
31011120112120220212111
423121021101231221
5200023123203223
65341512042321
7612100655041
oct133111215551
934515526774
1012233022313
1152082497a6
1224549933a1
1311cc511655
14840958721
154b8e4e30d
hex2d9251b69

12233022313 has 16 divisors (see below), whose sum is σ = 13077098496. Its totient is φ = 11423679120.

The previous prime is 12233022293. The next prime is 12233022317. The reversal of 12233022313 is 31322033221.

12233022313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12233022313 - 25 = 12233022281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12233022317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55356 + ... + 165922.

It is an arithmetic number, because the mean of its divisors is an integer number (817318656).

Almost surely, 212233022313 is an apocalyptic number.

It is an amenable number.

12233022313 is a deficient number, since it is larger than the sum of its proper divisors (844076183).

12233022313 is a wasteful number, since it uses less digits than its factorization.

12233022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110724.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12233022313 its product of nonzero digits (1296), we get a square (12233023609 = 1106032).

Adding to 12233022313 its reverse (31322033221), we get a palindrome (43555055534).

The spelling of 12233022313 in words is "twelve billion, two hundred thirty-three million, twenty-two thousand, three hundred thirteen".

Divisors: 1 31 43 83 1333 2573 3569 110567 110639 3427577 4754381 9177061 147385811 284488891 394613623 12233022313