Search a number
-
+
11120200021120 = 275231096930719
BaseRepresentation
bin1010000111010001111110…
…0100100111010010000000
31110101002011212012102012111
42201310133210213102000
52424143132201133440
635352314355105104
72225256631411561
oct241643744472200
943332155172174
1011120200021120
1135a8061010943
1212b72045a2194
13628826ba21c8
142a63132a8168
151443ddec04ea
hexa1d1f927480

11120200021120 has 128 divisors (see below), whose sum is σ = 27994564224000. Its totient is φ = 4215650807808.

The previous prime is 11120200021111. The next prime is 11120200021127. The reversal of 11120200021120 is 2112000202111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×111202000211203 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11120200021120.

It is not an unprimeable number, because it can be changed into a prime (11120200021127) 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 15 ways as a sum of consecutive naturals, for example, 1860880 + ... + 5069839.

It is an arithmetic number, because the mean of its divisors is an integer number (218707533000).

Almost surely, 211120200021120 is an apocalyptic number.

11120200021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120200021120 is an abundant number, since it is smaller than the sum of its proper divisors (16874364202880).

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

11120200021120 is a wasteful number, since it uses less digits than its factorization.

11120200021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930870 (or 6930858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11120200021120 its reverse (2112000202111), we get a palindrome (13232200223231).

The spelling of 11120200021120 in words is "eleven trillion, one hundred twenty billion, two hundred million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 109 115 128 160 184 218 230 320 368 436 460 545 640 736 872 920 1090 1472 1744 1840 2180 2507 2944 3488 3680 4360 5014 6976 7360 8720 10028 12535 13952 14720 17440 20056 25070 34880 40112 50140 69760 80224 100280 160448 200560 320896 401120 802240 1604480 6930719 13861438 27722876 34653595 55445752 69307190 110891504 138614380 159406537 221783008 277228760 318813074 443566016 554457520 637626148 755448371 797032685 887132032 1108915040 1275252296 1510896742 1594065370 2217830080 2550504592 3021793484 3188130740 3777241855 4435660160 5101009184 6043586968 6376261480 7554483710 10202018368 12087173936 12752522960 15108967420 17375312533 20404036736 24174347872 25505045920 30217934840 34750625066 48348695744 51010091840 60435869680 69501250132 86876562665 96697391488 102020183680 120871739360 139002500264 173753125330 241743478720 278005000528 347506250660 483486957440 556010001056 695012501320 1112020002112 1390025002640 2224040004224 2780050005280 5560100010560 11120200021120