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12130313321133 = 3272128321439111
BaseRepresentation
bin1011000010000100111100…
…0001000011101010101101
31120221122110101120201012200
42300201033001003222231
53042220340202234013
641444331120452113
72361246320660400
oct260411701035255
946848411521180
1012130313321133
1139574896a6817
12143ab2947a039
1369cb64477627
142dd178927d37
1516080d524e73
hexb084f043aad

12130313321133 has 36 divisors (see below), whose sum is σ = 20398114477728. Its totient is φ = 6926204633040.

The previous prime is 12130313321111. The next prime is 12130313321143. The reversal of 12130313321133 is 33112331303121.

12130313321133 is a `hidden beast` number, since 1 + 2 + 1 + 303 + 1 + 3 + 321 + 1 + 33 = 666.

It is not a de Polignac number, because 12130313321133 - 210 = 12130313320109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12130313321097 and 12130313321106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130313321143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10153753 + ... + 11285358.

It is an arithmetic number, because the mean of its divisors is an integer number (566614291048).

Almost surely, 212130313321133 is an apocalyptic number.

It is an amenable number.

12130313321133 is a deficient number, since it is larger than the sum of its proper divisors (8267801156595).

12130313321133 is a wasteful number, since it uses less digits than its factorization.

12130313321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21440414 (or 21440404 counting only the distinct ones).

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

Adding to 12130313321133 its reverse (33112331303121), we get a palindrome (45242644624254).

The spelling of 12130313321133 in words is "twelve trillion, one hundred thirty billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 1283 3849 8981 11547 26943 62867 80829 188601 565803 21439111 64317333 150073777 192951999 450221331 1050516439 1350663993 3151549317 9454647951 27506379413 82519138239 192544655891 247557414717 577633967673 1347812591237 1732901903019 4043437773711 12130313321133