Search a number
-
+
110024243232030 = 232511354719777897
BaseRepresentation
bin11001000001000100000011…
…111011110011110100011110
3112102120012210200110120102200
4121001010003323303310132
5103410114122231411110
61030000234540232330
732113663212553401
oct3101040373636436
9472505720416380
10110024243232030
113206a023a84246
121040b52853b6a6
13495131aab077a
141d252b79b3d38
15cabeb2c4c6c0
hex641103ef3d1e

110024243232030 has 96 divisors (see below), whose sum is σ = 289122173462304. Its totient is φ = 29026989508608.

The previous prime is 110024243232023. The next prime is 110024243232049. The reversal of 110024243232030 is 30232342420011.

110024243232030 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 424 + 3 + 232 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 110024243231985 and 110024243232003.

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 47 ways as a sum of consecutive naturals, for example, 4325959 + ... + 15451938.

It is an arithmetic number, because the mean of its divisors is an integer number (3011689306899).

Almost surely, 2110024243232030 is an apocalyptic number.

110024243232030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110024243232030 is an abundant number, since it is smaller than the sum of its proper divisors (179097930230274).

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

110024243232030 is a wasteful number, since it uses less digits than its factorization.

110024243232030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19778570 (or 19778567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 110024243232030 its reverse (30232342420011), we get a palindrome (140256585652041).

The spelling of 110024243232030 in words is "one hundred ten trillion, twenty-four billion, two hundred forty-three million, two hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 547 565 678 1017 1094 1130 1641 1695 2034 2735 3282 3390 4923 5085 5470 8205 9846 10170 16410 24615 49230 61811 123622 185433 309055 370866 556299 618110 927165 1112598 1854330 2781495 5562990 19777897 39555794 59333691 98889485 118667382 178001073 197778970 296668455 356002146 593336910 890005365 1780010730 2234902361 4469804722 6704707083 10818509659 11174511805 13409414166 20114121249 21637019318 22349023610 32455528977 33523535415 40228242498 54092548295 64911057954 67047070830 97366586931 100570606245 108185096590 162277644885 194733173862 201141212490 324555289770 486832934655 973665869310 1222491591467 2444983182934 3667474774401 6112457957335 7334949548802 11002424323203 12224915914670 18337373872005 22004848646406 36674747744010 55012121616015 110024243232030