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12034020323133 = 321998776689681
BaseRepresentation
bin1010111100011110001110…
…0000011010111100111101
31120121102220120022120201100
42233013203200122330331
53034131133200320013
641332204055403313
72351300146001034
oct257074340327475
946542816276640
1012034020323133
11391a665823136
121424335083539
13693a599708c3
142d8641d4b71b
1515d074986473
hexaf1e381af3d

12034020323133 has 12 divisors (see below), whose sum is σ = 17382563364348. Its totient is φ = 8022638878080.

The previous prime is 12034020323093. The next prime is 12034020323147. The reversal of 12034020323133 is 33132302043021.

12034020323133 is a `hidden beast` number, since 1 + 2 + 0 + 340 + 2 + 0 + 3 + 2 + 313 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7811007653124 + 4223012670009 = 2794818^2 + 2054997^2 .

It is not a de Polignac number, because 12034020323133 - 221 = 12034018225981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12034020323097 and 12034020323106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034020323033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1545948 + ... + 5143733.

It is an arithmetic number, because the mean of its divisors is an integer number (1448546947029).

Almost surely, 212034020323133 is an apocalyptic number.

It is an amenable number.

12034020323133 is a deficient number, since it is larger than the sum of its proper divisors (5348543041215).

12034020323133 is a wasteful number, since it uses less digits than its factorization.

12034020323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889564 (or 6889561 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12034020323133 its reverse (33132302043021), we get a palindrome (45166322366154).

The spelling of 12034020323133 in words is "twelve trillion, thirty-four billion, twenty million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 199877 599631 1798893 6689681 20069043 60207129 1337113369237 4011340107711 12034020323133