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11000002002220 = 22572112394269491
BaseRepresentation
bin1010000000010010001100…
…1101100011110100101100
31102221120221001102101211201
42200010203031203310230
52420211001003032340
635221155310255244
72213503206202600
oct240044315436454
942846831371751
1011000002002220
1135610903a7240
121297a5a4b7524
1361a3ac9754ba
142a058d937500
1514120695279a
hexa0123363d2c

11000002002220 has 144 divisors (see below), whose sum is σ = 29436951882240. Its totient is φ = 3414225763200.

The previous prime is 11000002002173. The next prime is 11000002002233. The reversal of 11000002002220 is 2220020000011.

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 = 11000002002197 and 11000002002206.

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, 441675 + ... + 4711165.

It is an arithmetic number, because the mean of its divisors is an integer number (204423276960).

Almost surely, 211000002002220 is an apocalyptic number.

11000002002220 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 11000002002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718475941120).

11000002002220 is an abundant number, since it is smaller than the sum of its proper divisors (18436949880020).

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

11000002002220 is a wasteful number, since it uses less digits than its factorization.

11000002002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269764 (or 4269755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 11000002002220 its reverse (2220020000011), we get a palindrome (13220022002231).

The spelling of 11000002002220 in words is "eleven trillion, two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 239 245 308 385 478 490 539 770 956 980 1078 1195 1540 1673 2156 2390 2629 2695 3346 4780 5258 5390 6692 8365 10516 10780 11711 13145 16730 18403 23422 26290 33460 36806 46844 52580 58555 73612 92015 117110 128821 184030 234220 257642 368060 515284 644105 1288210 2576420 4269491 8538982 17077964 21347455 29886437 42694910 46964401 59772874 85389820 93928802 119545748 149432185 187857604 209205059 234822005 298864370 328750807 418410118 469644010 597728740 657501614 836820236 939288020 1020408349 1046025295 1315003228 1643754035 2040816698 2092050590 2301255649 3287508070 4081633396 4184101180 4602511298 5102041745 6575016140 7142858443 9205022596 10204083490 11224491839 11506278245 14285716886 20408166980 22448983678 23012556490 28571433772 35714292215 44897967356 46025112980 50000009101 56122459195 71428584430 78571442873 100000018202 112244918390 142857168860 157142885746 200000036404 224489836780 250000045505 314285771492 392857214365 500000091010 550000100111 785714428730 1000000182020 1100000200222 1571428857460 2200000400444 2750000500555 5500001001110 11000002002220