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2111244420330 = 234515727316079
BaseRepresentation
bin11110101110001111111…
…110010100010011101010
321110211111020211221010000
4132232033332110103222
5234042312032422310
64253520423003430
7305350414322103
oct36561776242352
97424436757100
102111244420330
11744412487351
122a120b599576
13124121809266
14742830473aa
1539db94874c0
hex1eb8ff944ea

2111244420330 has 160 divisors (see below), whose sum is σ = 5716092349440. Its totient is φ = 559115706240.

The previous prime is 2111244420323. The next prime is 2111244420343. The reversal of 2111244420330 is 330244421112.

2111244420330 is a `hidden beast` number, since 2 + 1 + 1 + 12 + 444 + 203 + 3 + 0 = 666.

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 = 2111244420294 and 2111244420303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 347298231 + ... + 347304309.

It is an arithmetic number, because the mean of its divisors is an integer number (35725577184).

Almost surely, 22111244420330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111244420330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858046174720).

2111244420330 is an abundant number, since it is smaller than the sum of its proper divisors (3604847929110).

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

2111244420330 is a wasteful number, since it uses less digits than its factorization.

2111244420330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2111244420330 its reverse (330244421112), we get a palindrome (2441488841442).

The spelling of 2111244420330 in words is "two trillion, one hundred eleven billion, two hundred forty-four million, four hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 157 162 270 314 405 471 785 810 942 1413 1570 2355 2731 2826 4239 4710 5462 6079 7065 8193 8478 12158 12717 13655 14130 16386 18237 21195 24579 25434 27310 30395 36474 40965 42390 49158 54711 60790 63585 73737 81930 91185 109422 122895 127170 147474 164133 182370 221211 245790 273555 328266 368685 428767 442422 492399 547110 737370 820665 857534 954403 984798 1106055 1286301 1641330 1908806 2143835 2212110 2461995 2572602 2863209 3858903 4287670 4772015 4923990 5726418 6431505 7717806 8589627 9544030 11576709 12863010 14316045 16601749 17179254 19294515 23153418 25768881 28632090 33203498 34730127 38589030 42948135 49805247 51537762 57883545 69460254 77306643 83008745 85896270 99610494 115767090 128844405 149415741 154613286 166017490 173650635 249026235 257688810 298831482 347301270 386533215 448247223 498052470 747078705 773066430 896494446 1344741669 1494157410 2241236115 2606474593 2689483338 4482472230 5212949186 6723708345 7819423779 13032372965 13447416690 15638847558 23458271337 26064745930 39097118895 46916542674 70374814011 78194237790 117291356685 140749628022 211124442033 234582713370 351874070055 422248884066 703748140110 1055622210165 2111244420330