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11100002220 = 22325374735461
BaseRepresentation
bin10100101011001110…
…01001011110101100
31001122120121112111100
422111213021132230
5140213100032340
65033235323100
7542032314336
oct122547113654
931576545440
1011100002220
114786730a5a
122199450490
13107b86c168
147742a2456
1544e744830
hex2959c97ac

11100002220 has 144 divisors (see below), whose sum is σ = 35316747648. Its totient is φ = 2818644480.

The previous prime is 11100002161. The next prime is 11100002351. The reversal of 11100002220 is 2220000111.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 295290 + ... + 330750.

It is an arithmetic number, because the mean of its divisors is an integer number (245255192).

Almost surely, 211100002220 is an apocalyptic number.

11100002220 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 11100002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658373824).

11100002220 is an abundant number, since it is smaller than the sum of its proper divisors (24216745428).

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

11100002220 is a wasteful number, since it uses less digits than its factorization.

11100002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35560 (or 35555 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11100002220 its reverse (2220000111), we get a palindrome (13320002331).

The spelling of 11100002220 in words is "eleven billion, one hundred million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 47 60 74 90 94 111 141 148 180 185 188 222 235 282 333 370 423 444 470 555 564 666 705 740 846 940 1110 1332 1410 1665 1692 1739 2115 2220 2820 3330 3478 4230 5217 6660 6956 8460 8695 10434 15651 17390 20868 26085 31302 34780 35461 52170 62604 70922 78255 104340 106383 141844 156510 177305 212766 313020 319149 354610 425532 531915 638298 709220 1063830 1276596 1312057 1595745 1666667 2127660 2624114 3191490 3333334 3936171 5000001 5248228 6382980 6560285 6666668 7872342 8333335 10000002 11808513 13120570 15000003 15744684 16666670 19680855 20000004 23617026 25000005 26241140 30000006 33333340 39361710 47234052 50000010 59042565 60000012 61666679 75000015 78723420 100000020 118085130 123333358 150000030 185000037 236170260 246666716 300000060 308333395 370000074 555000111 616666790 740000148 925000185 1110000222 1233333580 1850000370 2220000444 2775000555 3700000740 5550001110 11100002220