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11100222221220 = 223251116573383327
BaseRepresentation
bin1010000110000111100011…
…0011010110101110100100
31110022011121120110000202200
42201201320303112232210
52423331223342034340
635335212141334500
72223651566046156
oct241417063265644
943264546400680
1011100222221220
11359a63a075110
1212b3369b67430
13626991c9b232
142a5379d20ad6
15143b2018c330
hexa1878cd6ba4

11100222221220 has 144 divisors (see below), whose sum is σ = 36753822862848. Its totient is φ = 2689338170880.

The previous prime is 11100222221183. The next prime is 11100222221261. The reversal of 11100222221220 is 2212222200111.

It is a happy number.

11100222221220 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 222 + 221 + 220 = 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 = 11100222221193 and 11100222221202.

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, 1589197 + ... + 4972523.

It is an arithmetic number, because the mean of its divisors is an integer number (255234880992).

Almost surely, 211100222221220 is an apocalyptic number.

11100222221220 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 11100222221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376911431424).

11100222221220 is an abundant number, since it is smaller than the sum of its proper divisors (25653600641628).

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

11100222221220 is a wasteful number, since it uses less digits than its factorization.

11100222221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385010 (or 3385005 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11100222221220 its reverse (2212222200111), we get a palindrome (13312444421331).

The spelling of 11100222221220 in words is "eleven trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1657 1980 3314 4971 6628 8285 9942 14913 16570 18227 19884 24855 29826 33140 36454 49710 54681 59652 72908 74565 91135 99420 109362 149130 164043 182270 218724 273405 298260 328086 364540 546810 656172 820215 1093620 1640430 3280860 3383327 6766654 10149981 13533308 16916635 20299962 30449943 33833270 37216597 40599924 50749905 60899886 67666540 74433194 101499810 111649791 121799772 148866388 152249715 186082985 202999620 223299582 304499430 334949373 372165970 446599164 558248955 608998860 669898746 744331940 1116497910 1339797492 1674746865 2232995820 3349493730 5606172839 6698987460 11212345678 16818518517 22424691356 28030864195 33637037034 50455555551 56061728390 61667901229 67274074068 84092592585 100911111102 112123456780 123335802458 168185185170 185003703687 201822222204 246671604916 252277777755 308339506145 336370370340 370007407374 504555555510 555011111061 616679012290 740014814748 925018518435 1009111111020 1110022222122 1233358024580 1850037036870 2220044444244 2775055555305 3700074073740 5550111110610 11100222221220