Search a number
-
+
11220102200112 = 24313791132014219
BaseRepresentation
bin1010001101000110001000…
…1101001011101100110000
31110201122001012202221020220
42203101202031023230300
52432312232130400422
635510235505333040
72235424410051621
oct243214215135460
943648035687226
1011220102200112
113636467203633
121312645637180
13635088351ba0
142ab0ad343a48
15146cd9835e5c
hexa346234bb30

11220102200112 has 160 divisors (see below), whose sum is σ = 31889775590400. Its totient is φ = 3378472022016.

The previous prime is 11220102200053. The next prime is 11220102200137. The reversal of 11220102200112 is 21100220102211.

It is a junction number, because it is equal to n+sod(n) for n = 11220102200091 and 11220102200100.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4563339 + ... + 6577557.

It is an arithmetic number, because the mean of its divisors is an integer number (199311097440).

Almost surely, 211220102200112 is an apocalyptic number.

11220102200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220102200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944887795200).

11220102200112 is an abundant number, since it is smaller than the sum of its proper divisors (20669673390288).

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

11220102200112 is a wasteful number, since it uses less digits than its factorization.

11220102200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014435 (or 2014429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11220102200112 its reverse (21100220102211), we get a palindrome (32320322302323).

The spelling of 11220102200112 in words is "eleven trillion, two hundred twenty billion, one hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 113 156 158 208 226 237 312 316 339 452 474 624 632 678 904 948 1027 1264 1356 1469 1808 1896 2054 2712 2938 3081 3792 4108 4407 5424 5876 6162 8216 8814 8927 11752 12324 16432 17628 17854 23504 24648 26781 35256 35708 49296 53562 70512 71416 107124 116051 142832 214248 232102 348153 428496 464204 696306 928408 1392612 1856816 2014219 2785224 4028438 5570448 6042657 8056876 12085314 16113752 24170628 26184847 32227504 48341256 52369694 78554541 96682512 104739388 157109082 159123301 209478776 227606747 314218164 318246602 418957552 455213494 477369903 628436328 636493204 682820241 910426988 954739806 1256872656 1272986408 1365640482 1820853976 1909479612 2068602913 2545972816 2731280964 2958887711 3641707952 3818959224 4137205826 5462561928 5917775422 6205808739 7637918448 8274411652 8876663133 10925123856 11835550844 12411617478 16548823304 17753326266 17980933013 23671101688 24823234956 33097646608 35506652532 35961866026 47342203376 49646469912 53942799039 71013305064 71923732052 99292939824 107885598078 142026610128 143847464104 215771196156 233752129169 287694928208 431542392312 467504258338 701256387507 863084784624 935008516676 1402512775014 1870017033352 2805025550028 3740034066704 5610051100056 11220102200112