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11112012221100 = 2235278959454319
BaseRepresentation
bin1010000110110011011110…
…0010101000101010101100
31110100022001020102002002220
42201230313202220222230
52424024400112033400
635344442110115340
72224550010305520
oct241546742505254
943308036362086
1011112012221100
1135a463a23356a
1212b56ba4abb50
13627b20786b1b
142a5b77ab5d80
151440b027a7a0
hexa1b378a8aac

11112012221100 has 144 divisors (see below), whose sum is σ = 37156571827200. Its totient is φ = 2511350392320.

The previous prime is 11112012221047. The next prime is 11112012221111. The reversal of 11112012221100 is 112221021111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11112012221100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29540260 + ... + 29914059.

It is an arithmetic number, because the mean of its divisors is an integer number (258031748800).

Almost surely, 211112012221100 is an apocalyptic number.

11112012221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112012221100 is an abundant number, since it is smaller than the sum of its proper divisors (26044559606100).

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

11112012221100 is a wasteful number, since it uses less digits than its factorization.

11112012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59454432 (or 59454425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11112012221100 its reverse (112221021111), we get a palindrome (11224233242211).

The spelling of 11112012221100 in words is "eleven trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 89 100 105 140 150 175 178 210 267 300 350 356 420 445 525 534 623 700 890 1050 1068 1246 1335 1780 1869 2100 2225 2492 2670 3115 3738 4450 5340 6230 6675 7476 8900 9345 12460 13350 15575 18690 26700 31150 37380 46725 62300 93450 186900 59454319 118908638 178362957 237817276 297271595 356725914 416180233 594543190 713451828 832360466 891814785 1189086380 1248540699 1486357975 1664720932 1783629570 2080901165 2497081398 2972715950 3567259140 4161802330 4459073925 4994162796 5291434391 5945431900 6242703495 8323604660 8918147850 10404505825 10582868782 12485406990 15874303173 17836295700 20809011650 21165737564 24970813980 26457171955 31213517475 31748606346 37040040737 41618023300 52914343910 62427034950 63497212692 74080081474 79371515865 105828687820 111120122211 124854069900 132285859775 148160162948 158743031730 185200203685 222240244422 264571719550 317486063460 370400407370 396857579325 444480488844 529143439100 555600611055 740800814740 793715158650 926001018425 1111201222110 1587430317300 1852002036850 2222402444220 2778003055275 3704004073700 5556006110550 11112012221100