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11133312321033 = 337227699258703
BaseRepresentation
bin1010001000000010110100…
…1000000100011000001001
31110102100000200022021012000
42202000231020010120021
52424402010423233113
635402323441141213
72226232600210320
oct242005510043011
943370020267160
1011133312321033
11360267a618941
1212b986392a809
13629b36603056
142a6bd89070b7
1514490a206373
hexa202d204609

11133312321033 has 32 divisors (see below), whose sum is σ = 18850208256000. Its totient is φ = 6361840223568.

The previous prime is 11133312321023. The next prime is 11133312321067. The reversal of 11133312321033 is 33012321333111.

11133312321033 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 331 + 2 + 321 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 11133312321033 - 26 = 11133312320969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11133312320988 and 11133312321006.

It is not an unprimeable number, because it can be changed into a prime (11133312321013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42905760 + ... + 43164462.

It is an arithmetic number, because the mean of its divisors is an integer number (589069008000).

Almost surely, 211133312321033 is an apocalyptic number.

It is an amenable number.

11133312321033 is a deficient number, since it is larger than the sum of its proper divisors (7716895934967).

11133312321033 is a wasteful number, since it uses less digits than its factorization.

11133312321033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486418 (or 486412 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11133312321033 its reverse (33012321333111), we get a palindrome (44145633654144).

The spelling of 11133312321033 in words is "eleven trillion, one hundred thirty-three billion, three hundred twelve million, three hundred twenty-one thousand, thirty-three".

Divisors: 1 3 7 9 21 27 63 189 227699 258703 683097 776109 1593893 1810921 2049291 2328327 4781679 5432763 6147873 6984981 14345037 16298289 43035111 48894867 58906414397 176719243191 412344900779 530157729573 1237034702337 1590473188719 3711104107011 11133312321033