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11012121222200 = 2352721766099167
BaseRepresentation
bin1010000000111111010110…
…0100101101110000111000
31102222202012122212120020222
42200033311210231300320
52420410311013102300
635230522035235212
72214412425651500
oct240176544556070
942882178776228
1011012121222200
11356623a38761a
12129a281148b08
1361b59171cb97
142a0dbd30aa00
151416b58c2785
hexa03f592dc38

11012121222200 has 144 divisors (see below), whose sum is σ = 31535252061120. Its totient is φ = 3553491164160.

The previous prime is 11012121222197. The next prime is 11012121222233. The reversal of 11012121222200 is 222212121011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32882984 + ... + 33216183.

It is an arithmetic number, because the mean of its divisors is an integer number (218994805980).

Almost surely, 211012121222200 is an apocalyptic number.

11012121222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012121222200 is an abundant number, since it is smaller than the sum of its proper divisors (20523130838920).

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

11012121222200 is a wasteful number, since it uses less digits than its factorization.

11012121222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66099214 (or 66099198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11012121222200 its reverse (222212121011), we get a palindrome (11234333343211).

The spelling of 11012121222200 in words is "eleven trillion, twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 49 50 56 68 70 85 98 100 119 136 140 170 175 196 200 238 245 280 340 350 392 425 476 490 595 680 700 833 850 952 980 1190 1225 1400 1666 1700 1960 2380 2450 2975 3332 3400 4165 4760 4900 5950 6664 8330 9800 11900 16660 20825 23800 33320 41650 83300 166600 66099167 132198334 264396668 330495835 462694169 528793336 660991670 925388338 1123685839 1321983340 1652479175 1850776676 2247371678 2313470845 2643966680 3238859183 3304958350 3701553352 4494743356 4626941690 5618429195 6477718366 6609916700 7865800873 8989486712 9253883380 11236858390 11567354225 12955436732 13219833400 15731601746 16194295915 18507766760 22473716780 23134708450 25910873464 28092145975 31463203492 32388591830 39329004365 44947433560 46269416900 55060606111 56184291950 62926406984 64777183660 78658008730 80971479575 92538833800 110121212222 112368583900 129554367320 157316017460 161942959150 196645021825 220242424444 224737167800 275303030555 314632034920 323885918300 393290043650 440484848888 550606061110 647771836600 786580087300 1101212122220 1376515152775 1573160174600 2202424244440 2753030305550 5506060611100 11012121222200