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11100223111000 = 2353191530738167
BaseRepresentation
bin1010000110000111100011…
…0110101111111101011000
31110022011121122010020022111
42201201320312233331120
52423331224104023000
635335212212402104
72223651606443242
oct241417066577530
943264548106274
1011100223111000
11359a63a622671
1212b336a316334
1362699222022a
142a537a0b3092
15143b202b5cba
hexa1878daff58

11100223111000 has 128 divisors (see below), whose sum is σ = 27344104819200. Its totient is φ = 4206015331200.

The previous prime is 11100223110989. The next prime is 11100223111007. The reversal of 11100223111000 is 11132200111.

It is a happy number.

It is a super-2 number, since 2×111002231110002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100223111007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290813917 + ... + 290852083.

It is an arithmetic number, because the mean of its divisors is an integer number (213625818900).

Almost surely, 211100223111000 is an apocalyptic number.

11100223111000 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 11100223111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672052409600).

11100223111000 is an abundant number, since it is smaller than the sum of its proper divisors (16243881708200).

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

11100223111000 is a wasteful number, since it uses less digits than its factorization.

11100223111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53514 (or 53500 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11100223111000 its reverse (11132200111), we get a palindrome (11111355311111).

The spelling of 11100223111000 in words is "eleven trillion, one hundred billion, two hundred twenty-three million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 15307 19000 30614 38167 61228 76334 76535 122456 152668 153070 190835 290833 305336 306140 381670 382675 581666 612280 725173 763340 765350 954175 1163332 1450346 1454165 1526680 1530700 1908350 1913375 2326664 2900692 2908330 3061400 3625865 3816700 3826750 4770875 5801384 5816660 7251730 7270825 7633400 7653500 9541750 11633320 14503460 14541650 15307000 18129325 19083500 29006920 29083300 36258650 36354125 38167000 58166600 72517300 72708250 90646625 145034600 145416500 181293250 290833000 362586500 584222269 725173000 1168444538 2336889076 2921111345 4673778152 5842222690 11100223111 11684445380 14605556725 22200446222 23368890760 29211113450 44400892444 55501115555 58422226900 73027783625 88801784888 111002231110 116844453800 146055567250 222004462220 277505577775 292111134500 444008924440 555011155550 584222269000 1110022311100 1387527888875 2220044622200 2775055777750 5550111555500 11100223111000