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11100112021220 = 225231011271881241
BaseRepresentation
bin1010000110000111001000…
…1110111110011011100100
31110022011022220002021210012
42201201302032332123210
52423331012134134340
635335153203345352
72223646060262315
oct241416216763344
943264286067705
1011100112021220
11359a592947232
1212b3339082258
136269751c5b31
142a536943660c
15143b15670565
hexa18723be6e4

11100112021220 has 96 divisors (see below), whose sum is σ = 24757987516416. Its totient is φ = 4171837824000.

The previous prime is 11100112021217. The next prime is 11100112021223. The reversal of 11100112021220 is 2212021100111.

11100112021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11100112021217) and next prime (11100112021223).

It is a junction number, because it is equal to n+sod(n) for n = 11100112021195 and 11100112021204.

It is not an unprimeable number, because it can be changed into a prime (11100112021223) 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, 4959800 + ... + 6841040.

It is an arithmetic number, because the mean of its divisors is an integer number (257895703296).

Almost surely, 211100112021220 is an apocalyptic number.

11100112021220 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 11100112021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12378993758208).

11100112021220 is an abundant number, since it is smaller than the sum of its proper divisors (13657875495196).

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

11100112021220 is a wasteful number, since it uses less digits than its factorization.

11100112021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881501 (or 1881499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11100112021220 its reverse (2212021100111), we get a palindrome (13312133121331).

The spelling of 11100112021220 in words is "eleven trillion, one hundred billion, one hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 127 202 230 254 404 460 505 508 635 1010 1270 2020 2323 2540 2921 4646 5842 9292 11615 11684 12827 14605 23230 25654 29210 46460 51308 58420 64135 128270 256540 295021 590042 1180084 1475105 1881241 2950210 3762482 5900420 7524964 9406205 18812410 37624820 43268543 86537086 173074172 190005341 216342715 238917607 380010682 432685430 477835214 760021364 865370860 950026705 955670428 1194588035 1900053410 2389176070 3800106820 4370122843 4778352140 5495104961 8740245686 10990209922 17480491372 21850614215 21980419844 24130678307 27475524805 43701228430 48261356614 54951049610 87402456860 96522713228 109902099220 120653391535 241306783070 482613566140 555005601061 1110011202122 2220022404244 2775028005305 5550056010610 11100112021220