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11320033122333 = 3213892587342017
BaseRepresentation
bin1010010010111010011010…
…0011011001100000011101
31111002011222120102202121100
42210232212203121200131
52440431411434403313
640024203524023313
72245562654634315
oct244564643314035
944064876382540
1011320033122333
113674887648561
121329a94231b39
136416227567b0
142b1c6d142445
151496d7978173
hexa4ba68d981d

11320033122333 has 48 divisors (see below), whose sum is σ = 17807905730160. Its totient is φ = 6887472463872.

The previous prime is 11320033122311. The next prime is 11320033122347. The reversal of 11320033122333 is 33322133002311.

11320033122333 is a `hidden beast` number, since 1 + 1 + 3 + 200 + 3 + 3 + 122 + 333 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3397485773529 + 7922547348804 = 1843227^2 + 2814702^2 .

It is not a de Polignac number, because 11320033122333 - 28 = 11320033122077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11320033122297 and 11320033122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320033122533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269394541 + ... + 269436557.

It is an arithmetic number, because the mean of its divisors is an integer number (370998036045).

Almost surely, 211320033122333 is an apocalyptic number.

11320033122333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11320033122333 is a deficient number, since it is larger than the sum of its proper divisors (6487872607827).

11320033122333 is a wasteful number, since it uses less digits than its factorization.

11320033122333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67998 (or 67995 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11320033122333 its reverse (33322133002311), we get a palindrome (44642166124644).

The spelling of 11320033122333 in words is "eleven trillion, three hundred twenty billion, thirty-three million, one hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 89 117 267 801 1157 3471 10413 25873 42017 77619 126051 232857 336349 378153 546221 1009047 1638663 2302697 3027141 3739513 4915989 6908091 11218539 20724273 29935061 33655617 48613669 89805183 145841007 269415549 437523021 1087105841 3261317523 9783952569 14132375933 42397127799 96752419849 127191383397 290257259547 870771778641 1257781458037 3773344374111 11320033122333