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11033000220 = 22351127871931
BaseRepresentation
bin10100100011001111…
…00011100100011100
31001110220112111000210
422101213203210130
5140043422001340
65022443252420
7540256645254
oct122147434434
931426474023
1011033000220
114751928400
12217ab1a110
13106aa100c8
14769420964
1544890c180
hex2919e391c

11033000220 has 144 divisors (see below), whose sum is σ = 34016863104. Its totient is φ = 2669884800.

The previous prime is 11033000213. The next prime is 11033000239. The reversal of 11033000220 is 2200033011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11033000196 and 11033000205.

It is a congruent number.

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, 5712655 + ... + 5714585.

It is an arithmetic number, because the mean of its divisors is an integer number (236228216).

Almost surely, 211033000220 is an apocalyptic number.

11033000220 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 11033000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008431552).

11033000220 is an abundant number, since it is smaller than the sum of its proper divisors (22983862884).

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

11033000220 is a wasteful number, since it uses less digits than its factorization.

11033000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11033000220 its reverse (2200033011), we get a palindrome (13233033231).

The spelling of 11033000220 in words is "eleven billion, thirty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 787 1210 1452 1574 1815 1931 2361 2420 3148 3630 3862 3935 4722 5793 7260 7724 7870 8657 9444 9655 11586 11805 15740 17314 19310 21241 23172 23610 25971 28965 34628 38620 42482 43285 47220 51942 57930 63723 84964 86570 95227 103884 106205 115860 127446 129855 173140 190454 212410 233651 254892 259710 285681 318615 380908 424820 467302 476135 519420 571362 637230 700953 934604 952270 1142724 1168255 1274460 1401906 1428405 1519697 1904540 2336510 2803812 2856810 3039394 3504765 4559091 4673020 5713620 6078788 7009530 7598485 9118182 14019060 15196970 16716667 18236364 22795455 30393940 33433334 45590910 50150001 66866668 83583335 91181820 100300002 167166670 183883337 200600004 250750005 334333340 367766674 501500010 551650011 735533348 919416685 1003000020 1103300022 1838833370 2206600044 2758250055 3677666740 5516500110 11033000220