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11110200220 = 2257219607983
BaseRepresentation
bin10100101100011100…
…00011001110011100
31001200021210122112001
422112032003032130
5140223202401340
65034242052044
7542215100200
oct122616031634
931607718461
1011110200220
114791466959
1221a094a024
1310809ccb92
14775798b00
154505ab29a
hex29638339c

11110200220 has 144 divisors (see below), whose sum is σ = 28645263360. Its totient is φ = 3599116416.

The previous prime is 11110200217. The next prime is 11110200221. The reversal of 11110200220 is 2200201111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11110200197 and 11110200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110200221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11301849 + ... + 11302831.

It is an arithmetic number, because the mean of its divisors is an integer number (198925440).

Almost surely, 211110200220 is an apocalyptic number.

11110200220 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 11110200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322631680).

11110200220 is an abundant number, since it is smaller than the sum of its proper divisors (17535063140).

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

11110200220 is a wasteful number, since it uses less digits than its factorization.

11110200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11110200220 its reverse (2200201111), we get a palindrome (13310401331).

The spelling of 11110200220 in words is "eleven billion, one hundred ten million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 607 665 931 980 983 1214 1330 1862 1966 2428 2660 3035 3724 3932 4249 4655 4915 6070 6881 8498 9310 9830 11533 12140 13762 16996 18620 18677 19660 21245 23066 27524 29743 34405 37354 42490 46132 48167 57665 59486 68810 74708 80731 84980 93385 96334 115330 118972 130739 137620 148715 161462 186770 192668 230660 240835 261478 297430 322924 373540 403655 481670 522956 565117 594860 596681 653695 807310 915173 963340 1130234 1193362 1307390 1614620 1830346 2260468 2386724 2614780 2825585 2983405 3660692 4176767 4575865 5651170 5966810 8353534 9151730 11302340 11336939 11933620 16707068 18303460 20883835 22673878 29237369 41767670 45347756 56684695 58474738 79358573 83535340 113369390 116949476 146186845 158717146 226738780 292373690 317434292 396792865 555510011 584747380 793585730 1111020022 1587171460 2222040044 2777550055 5555100110 11110200220