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12322100001 = 3192109104383
BaseRepresentation
bin10110111100111010…
…00101001100100001
31011210202012112111010
423132131011030201
5200213424200001
65354413211133
7614232056541
oct133635051441
934722175433
1012322100001
115253560122
12247a790aa9
131214acc843
1484c705321
154c1b978d6
hex2de745321

12322100001 has 24 divisors (see below), whose sum is σ = 17498933760. Its totient is φ = 7710907104.

The previous prime is 12322099981. The next prime is 12322100003. The reversal of 12322100001 is 10000122321.

12322100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12322100001 - 25 = 12322099969 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12322100001.

It is not an unprimeable number, because it can be changed into a prime (12322100003) 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 23 ways as a sum of consecutive naturals, for example, 65856 + ... + 170238.

It is an arithmetic number, because the mean of its divisors is an integer number (729122240).

Almost surely, 212322100001 is an apocalyptic number.

It is an amenable number.

12322100001 is a deficient number, since it is larger than the sum of its proper divisors (5176833759).

12322100001 is a wasteful number, since it uses less digits than its factorization.

12322100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104533 (or 104514 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12322100001 its reverse (10000122321), we get a palindrome (22322222322).

The spelling of 12322100001 in words is "twelve billion, three hundred twenty-two million, one hundred thousand, one".

Divisors: 1 3 19 57 109 327 361 1083 2071 6213 39349 104383 118047 313149 1983277 5949831 11377747 34133241 37682263 113046789 216177193 648531579 4107366667 12322100001