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233201311012332 = 2232131738376531009
BaseRepresentation
bin110101000001100001101001…
…010011011101010111101100
31010120200211100022210002211100
4311001201221103131113230
5221031232241104343312
62143551111525523100
7100056144611442405
oct6501415123352754
91116624308702740
10233201311012332
116833a136580243
12221a3b87273490
13a017a3503c720
14418300a1349ac
151be617bb995dc
hexd418694dd5ec

233201311012332 has 144 divisors (see below), whose sum is σ = 673923502586880. Its totient is φ = 67357083009024.

The previous prime is 233201311012301. The next prime is 233201311012357. The reversal of 233201311012332 is 233210113102332.

233201311012332 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 0 + 1 + 311 + 0 + 12 + 332 = 666.

233201311012332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233201311012296 and 233201311012305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35218357 + ... + 41312652.

It is an arithmetic number, because the mean of its divisors is an integer number (4680024323520).

Almost surely, 2233201311012332 is an apocalyptic number.

It is an amenable number.

233201311012332 is an abundant number, since it is smaller than the sum of its proper divisors (440722191574548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233201311012332 is a wasteful number, since it uses less digits than its factorization.

233201311012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76531432 (or 76531427 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 233201311012332 its reverse (233210113102332), we get a palindrome (466411424114664).

The spelling of 233201311012332 in words is "two hundred thirty-three trillion, two hundred one billion, three hundred eleven million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 383 442 468 612 663 766 884 1149 1326 1532 1989 2298 2652 3447 3978 4596 4979 6511 6894 7956 9958 13022 13788 14937 19533 19916 26044 29874 39066 44811 58599 59748 78132 84643 89622 117198 169286 179244 234396 253929 338572 507858 761787 1015716 1523574 3047148 76531009 153062018 229593027 306124036 459186054 688779081 918372108 994903117 1301027153 1377558162 1989806234 2602054306 2755116324 2984709351 3903081459 3979612468 5204108612 5969418702 7806162918 8954128053 11709244377 11938837404 15612325836 16913352989 17908256106 23418488754 29311376447 33826705978 35816512212 46836977508 50740058967 58622752894 67653411956 87934129341 101480117934 117245505788 152220176901 175868258682 202960235868 263802388023 304440353802 351736517364 381047893811 498293399599 527604776046 608880707604 762095787622 996586799198 1055209552092 1143143681433 1494880198797 1524191575244 1993173598396 2286287362866 2989760397594 3429431044299 4484640596391 4572574725732 5979520795188 6477814194787 6858862088598 8969281192782 12955628389574 13717724177196 17938562385564 19433442584361 25911256779148 38866885168722 58300327753083 77733770337444 116600655506166 233201311012332