Search a number
-
+
2112110131230 = 2325112881220147
BaseRepresentation
bin11110101111000011100…
…100101111100000011110
321110220201120211121012200
4132233003210233200132
5234101100143144410
64254142350112330
7305411025616431
oct36570344574036
97426646747180
102112110131230
11744817119800
122a14114ab6a6
1312422bc88628
1474325dd9818
1539e1a48e3c0
hex1ebc392f81e

2112110131230 has 144 divisors (see below), whose sum is σ = 6042975421392. Its totient is φ = 511443187200.

The previous prime is 2112110131213. The next prime is 2112110131303. The reversal of 2112110131230 is 321310112112.

2112110131230 is a `hidden beast` number, since 211 + 2 + 110 + 1 + 312 + 30 = 666.

It is a super-2 number, since 2×21121101312302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9484017 + ... + 9704163.

It is an arithmetic number, because the mean of its divisors is an integer number (41965107093).

Almost surely, 22112110131230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112110131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021487710696).

2112110131230 is an abundant number, since it is smaller than the sum of its proper divisors (3930865290162).

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

2112110131230 is a wasteful number, since it uses less digits than its factorization.

2112110131230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221063 (or 221049 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2112110131230 its reverse (321310112112), we get a palindrome (2433420243342).

The spelling of 2112110131230 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 881 990 1089 1210 1762 1815 2178 2643 3630 4405 5286 5445 7929 8810 9691 10890 13215 15858 19382 26430 29073 39645 48455 58146 79290 87219 96910 106601 145365 174438 213202 220147 290730 319803 436095 440294 533005 639606 660441 872190 959409 1066010 1100735 1320882 1599015 1918818 1981323 2201470 2421617 3198030 3302205 3962646 4797045 4843234 6604410 7264851 9594090 9906615 12108085 14529702 19813230 21794553 24216170 26637787 36324255 43589106 53275574 72648510 79913361 108972765 133188935 159826722 193949507 217945530 239740083 266377870 387899014 399566805 479480166 581848521 799133610 969747535 1163697042 1198700415 1745545563 1939495070 2133444577 2397400830 2909242605 3491091126 4266889154 5818485210 6400333731 8727727815 10667222885 12800667462 17455455630 19201001193 21334445770 23467890347 32001668655 38402002386 46935780694 64003337310 70403671041 96005005965 117339451735 140807342082 192010011930 211211013123 234678903470 352018355205 422422026246 704036710410 1056055065615 2112110131230