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11120200122213 = 32721337293178921
BaseRepresentation
bin1010000111010001111110…
…0100111111111101100101
31110101002011212101112212200
42201310133210333331211
52424143132212402323
635352314401205113
72225256632312400
oct241643744777545
943332155345780
1011120200122213
1135a806107a896
1212b7204630799
13628826c09220
142a63132d2d37
151443ddee0443
hexa1d1f93ff65

11120200122213 has 144 divisors (see below), whose sum is σ = 20736760642416. Its totient is φ = 5687560488960.

The previous prime is 11120200122211. The next prime is 11120200122223. The reversal of 11120200122213 is 31222100202111.

11120200122213 is a `hidden beast` number, since 11 + 120 + 200 + 122 + 213 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2208201944004 + 8911998178209 = 1486002^2 + 2985297^2 .

It is not a de Polignac number, because 11120200122213 - 21 = 11120200122211 is a prime.

It is a super-3 number, since 3×111202001222133 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120200122211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62061993 + ... + 62240913.

It is an arithmetic number, because the mean of its divisors is an integer number (144005282239).

Almost surely, 211120200122213 is an apocalyptic number.

11120200122213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11120200122213 is a deficient number, since it is larger than the sum of its proper divisors (9616560520203).

11120200122213 is a wasteful number, since it uses less digits than its factorization.

11120200122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179284 (or 179274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11120200122213 its reverse (31222100202111), we get a palindrome (42342300324324).

The spelling of 11120200122213 in words is "eleven trillion, one hundred twenty billion, two hundred million, one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 37 39 49 63 91 111 117 147 259 273 293 333 441 481 637 777 819 879 1443 1813 1911 2051 2331 2637 3367 3809 4329 5439 5733 6153 10101 10841 11427 14357 16317 18459 23569 26663 30303 32523 34281 43071 70707 75887 79989 97569 129213 140933 178921 186641 212121 227661 239967 422799 531209 536763 559923 682983 986531 1252447 1268397 1593627 1610289 1679769 2325973 2959593 3757341 4780881 6620077 6905717 6977919 8767129 8878779 11272023 16281811 19860231 20717151 20933757 26301387 46340539 48845433 52423853 59580693 62151453 78904161 86061001 113972677 139021617 146536299 157271559 258183003 324383773 341918031 366966971 417064851 471814677 602427007 681510089 774549009 973151319 1025754093 1100900913 1807281021 1939682561 2044530267 2568768797 2919453957 3302702739 4216989049 4770570623 5421843063 5819047683 6133590801 7706306391 12650967147 13577777927 14311711869 17457143049 23118919173 25215873293 33393994361 37952901441 40733333781 42935135607 75647619879 95044445489 100181983083 122200001343 176511113051 226942859637 285133336467 300545949249 529533339153 855400009401 1235577791357 1588600017459 3706733374071 11120200122213