Search a number
-
+
12333122333009 = 101647318864533
BaseRepresentation
bin1011001101111000011101…
…1000000010100101010001
31121200000221111111222120222
42303132013120002211101
53104031213304124014
642121431433442425
72412016161065402
oct263360730024521
947600844458528
1012333122333009
113a254a2040135
1214722a9870415
136b601572a8ba
14308cd7ad79a9
15165c2d3b408e
hexb3787602951

12333122333009 has 8 divisors (see below), whose sum is σ = 12457157297832. Its totient is φ = 12209125110400.

The previous prime is 12333122332997. The next prime is 12333122333027. The reversal of 12333122333009 is 90033322133321.

It can be written as a sum of positive squares in 4 ways, for example, as 1750072347409 + 10583049985600 = 1322903^2 + 3253160^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12333122333009 - 28 = 12333122332753 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12333122333009.

It is not an unprimeable number, because it can be changed into a prime (12333122333029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8778494 + ... + 10086039.

It is an arithmetic number, because the mean of its divisors is an integer number (1557144662229).

Almost surely, 212333122333009 is an apocalyptic number.

It is an amenable number.

12333122333009 is a deficient number, since it is larger than the sum of its proper divisors (124034964823).

12333122333009 is a wasteful number, since it uses less digits than its factorization.

12333122333009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18871107.

The product of its (nonzero) digits is 52488, while the sum is 35.

The spelling of 12333122333009 in words is "twelve trillion, three hundred thirty-three billion, one hundred twenty-two million, three hundred thirty-three thousand, nine".

Divisors: 1 101 6473 653773 18864533 1905317833 122110122109 12333122333009