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12111134333130 = 2325719224022751
BaseRepresentation
bin1011000000111101011111…
…0111000001100011001010
31120212210221202221011200200
42300033113313001203022
53041412100342130010
641431440040313030
72360000125162440
oct260172767014312
946783852834620
1012111134333130
11394a33765a208
121437276472776
1369b0c8bcb811
142dc2796bab90
151600898d1cc0
hexb03d7dc18ca

12111134333130 has 48 divisors (see below), whose sum is σ = 35987370591744. Its totient is φ = 2768259276000.

The previous prime is 12111134333119. The next prime is 12111134333167. The reversal of 12111134333130 is 3133343111121.

12111134333130 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 1 + 343 + 3 + 313 + 0 = 666.

12111134333130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12111134333094 and 12111134333103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9612010746 + ... + 9612012005.

It is an arithmetic number, because the mean of its divisors is an integer number (749736887328).

Almost surely, 212111134333130 is an apocalyptic number.

12111134333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12111134333130 is an abundant number, since it is smaller than the sum of its proper divisors (23876236258614).

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

12111134333130 is a wasteful number, since it uses less digits than its factorization.

12111134333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19224022771 (or 19224022768 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 12111134333130 its reverse (3133343111121), we get a palindrome (15244477444251).

The spelling of 12111134333130 in words is "twelve trillion, one hundred eleven billion, one hundred thirty-four million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 19224022751 38448045502 57672068253 96120113755 115344136506 134568159257 173016204759 192240227510 269136318514 288360341265 346032409518 403704477771 576720682530 672840796285 807408955542 865081023795 1211113433313 1345681592570 1730162047590 2018522388855 2422226866626 4037044777710 6055567166565 12111134333130