Search a number
-
+
11120122002330 = 23251121953743763
BaseRepresentation
bin1010000111010001101011…
…1010111111101110011010
31110101001222102101122112200
42201310122322333232122
52424143002213033310
635352302530551030
72225254663306545
oct241643272775632
943331872348480
1011120122002330
1135a8020a73200
1212b71a2438476
13628813986843
142a6306b9985c
151443d720d9c0
hexa1d1aebfb9a

11120122002330 has 144 divisors (see below), whose sum is σ = 33452268464160. Its totient is φ = 2553903570240.

The previous prime is 11120122002329. The next prime is 11120122002347. The reversal of 11120122002330 is 3320022102111.

11120122002330 is a `hidden beast` number, since 1 + 1 + 120 + 12 + 200 + 2 + 330 = 666.

It is a super-2 number, since 2×111201220023302 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26664972 + ... + 27078791.

It is an arithmetic number, because the mean of its divisors is an integer number (232307419890).

Almost surely, 211120122002330 is an apocalyptic number.

11120122002330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11120122002330 is an abundant number, since it is smaller than the sum of its proper divisors (22332146461830).

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

11120122002330 is a wasteful number, since it uses less digits than its factorization.

11120122002330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53743817 (or 53743803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11120122002330 its reverse (3320022102111), we get a palindrome (14440144104441).

The spelling of 11120122002330 in words is "eleven trillion, one hundred twenty billion, one hundred twenty-two million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 121 165 171 190 198 209 242 285 330 342 363 418 495 570 605 627 726 855 990 1045 1089 1210 1254 1710 1815 1881 2090 2178 2299 3135 3630 3762 4598 5445 6270 6897 9405 10890 11495 13794 18810 20691 22990 34485 41382 68970 103455 206910 53743763 107487526 161231289 268718815 322462578 483693867 537437630 591181393 806156445 967387734 1021131497 1182362786 1612312890 1773544179 2042262994 2418469335 2955906965 3063394491 3547088358 4836938670 5105657485 5320632537 5911813930 6126788982 6502995323 8867720895 9190183473 10211314970 10641265074 11232446467 13005990646 15316972455 17735441790 18380366946 19508985969 22464892934 26603162685 30633944910 32514976615 33697339401 39017971938 45950917365 53206325370 56162232335 58526957907 65029953230 67394678802 91901834730 97544929845 101092018203 112324464670 117053915814 123556911137 168486697005 195089859690 202184036406 247113822274 292634789535 336973394010 370670733411 505460091015 585269579070 617784555685 741341466822 1010920182030 1112012200233 1235569111370 1853353667055 2224024400466 3706707334110 5560061001165 11120122002330