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11213230020120 = 233456047572329
BaseRepresentation
bin1010001100101100100010…
…0101111001011000011000
31110200222022021120000120000
42203023020211321120120
52432204143341120440
635503141534533000
72235062202353502
oct243131045713030
943628267500500
1011213230020120
113633560022037
121311248067160
136345316803ab
142aaa1a77ad72
15146a36369730
hexa32c8979618

11213230020120 has 160 divisors (see below), whose sum is σ = 37695210537600. Its totient is φ = 2989694956032.

The previous prime is 11213230020119. The next prime is 11213230020131. The reversal of 11213230020120 is 2102003231211.

11213230020120 is a `hidden beast` number, since 1 + 1 + 213 + 230 + 0 + 201 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11213230020093 and 11213230020102.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 19306116 + ... + 19878444.

It is an arithmetic number, because the mean of its divisors is an integer number (235595065860).

Almost surely, 211213230020120 is an apocalyptic number.

11213230020120 is a gapful number since it is divisible by the number (10) 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 11213230020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847605268800).

11213230020120 is an abundant number, since it is smaller than the sum of its proper divisors (26481980517480).

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

11213230020120 is a wasteful number, since it uses less digits than its factorization.

11213230020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578399 (or 578386 counting only the distinct ones).

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

Adding to 11213230020120 its reverse (2102003231211), we get a palindrome (13315233251331).

The spelling of 11213230020120 in words is "eleven trillion, two hundred thirteen billion, two hundred thirty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6047 12094 18141 24188 30235 36282 48376 54423 60470 72564 90705 108846 120940 145128 163269 181410 217692 241880 272115 326538 362820 435384 489807 544230 572329 653076 725640 816345 979614 1088460 1144658 1306152 1632690 1716987 1959228 2176920 2289316 2449035 2861645 3265380 3433974 3918456 4578632 4898070 5150961 5723290 6530760 6867948 8584935 9796140 10301922 11446580 13735896 15452883 17169870 19592280 20603844 22893160 25754805 30905766 34339740 41207688 46358649 51509610 61811532 68679480 77264415 92717298 103019220 123623064 154528830 185434596 206038440 231793245 309057660 370869192 463586490 618115320 927172980 1854345960 3460873463 6921746926 10382620389 13843493852 17304367315 20765240778 27686987704 31147861167 34608734630 41530481556 51913101945 62295722334 69217469260 83060963112 93443583501 103826203890 124591444668 138434938520 155739305835 186887167002 207652407780 249182889336 280330750503 311478611670 373774334004 415304815560 467217917505 560661501006 622957223340 747548668008 934435835010 1121323002012 1245914446680 1401653752515 1868871670020 2242646004024 2803307505030 3737743340040 5606615010060 11213230020120