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11114444110 = 25721121711027
BaseRepresentation
bin10100101100111100…
…01111010101001110
31001200120210021001011
422112132033111032
5140230244202420
65034513035434
7542266134100
oct122636172516
931616707034
1011114444110
1147938a5400
1221a2255b7a
131081857763
14776181570
15450b4895a
hex29678f54e

11114444110 has 144 divisors (see below), whose sum is σ = 27087458832. Its totient is φ = 3260167680.

The previous prime is 11114444083. The next prime is 11114444113. The reversal of 11114444110 is 1144441111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114444113) 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 71 ways as a sum of consecutive naturals, for example, 1002417 + ... + 1013443.

It is an arithmetic number, because the mean of its divisors is an integer number (188107353).

Almost surely, 211114444110 is an apocalyptic number.

11114444110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11114444110 is an abundant number, since it is smaller than the sum of its proper divisors (15973014722).

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

11114444110 is a wasteful number, since it uses less digits than its factorization.

11114444110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11087 (or 11069 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 11114444110 its reverse (1144441111), we get a palindrome (12258885221).

It can be divided in two parts, 1 and 1114444110, that added together give a palindrome (1114444111).

The spelling of 11114444110 in words is "eleven billion, one hundred fourteen million, four hundred forty-four thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 17 22 34 35 49 55 70 77 85 98 110 119 121 154 170 187 238 242 245 374 385 490 539 595 605 770 833 847 935 1078 1190 1210 1309 1666 1694 1870 2057 2618 2695 4114 4165 4235 5390 5929 6545 8330 8470 9163 10285 11027 11858 13090 14399 18326 20570 22054 28798 29645 45815 55135 59290 71995 77189 91630 100793 110270 121297 143990 154378 187459 201586 242594 374918 385945 503965 540323 606485 771890 849079 937295 1007930 1080646 1212970 1312213 1334267 1698158 1874590 2062049 2624426 2668534 2701615 4124098 4245395 5403230 5943553 6561065 6671335 8490790 9185491 9339869 10310245 11887106 13122130 13342670 14434343 18370982 18679738 20620490 22682539 28868686 29717765 45365078 45927455 46699345 59435530 65379083 72171715 91854910 93398690 101040401 113412695 130758166 144343430 158777773 202080802 226825390 317555546 326895415 505202005 653790830 793888865 1010404010 1111444411 1587777730 2222888822 5557222055 11114444110