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11200022202020 = 2254159458350513
BaseRepresentation
bin1010001011111011010101…
…0110000100011010100100
31110122201012210201100020212
42202332311112010122210
52432000121140431040
635453115201314552
72234113663640261
oct242766526043244
943581183640225
1011200022202020
1136289a2604893
12130a780935a58
13633208217a02
142aa126596268
15146511a66d65
hexa2fb55846a4

11200022202020 has 96 divisors (see below), whose sum is σ = 24507905667840. Its totient is φ = 4295637463040.

The previous prime is 11200022202007. The next prime is 11200022202049. The reversal of 11200022202020 is 2020222000211.

It is a junction number, because it is equal to n+sod(n) for n = 11200022201986 and 11200022202004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221700284 + ... + 221750796.

It is an arithmetic number, because the mean of its divisors is an integer number (255290684040).

Almost surely, 211200022202020 is an apocalyptic number.

11200022202020 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 11200022202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253952833920).

11200022202020 is an abundant number, since it is smaller than the sum of its proper divisors (13307883465820).

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

11200022202020 is a wasteful number, since it uses less digits than its factorization.

11200022202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55205 (or 55203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11200022202020 its reverse (2020222000211), we get a palindrome (13220244202231).

The spelling of 11200022202020 in words is "eleven trillion, two hundred billion, twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4583 4838 9166 9676 12095 18332 22915 24190 45830 48380 50513 91660 101026 187903 202052 252565 270397 375806 505130 540794 751612 939515 1010260 1081588 1351985 1879030 2071033 2703970 2980267 3758060 4142066 5407940 5960534 8284132 10355165 11086277 11921068 14901335 20710330 22172554 29802670 41420660 44345108 55431385 59605340 110862770 122190947 221725540 231501079 244381894 463002158 488763788 610954735 926004316 1157505395 1221909470 2315010790 2443818940 4630021580 9491544239 13658563661 18983088478 27317127322 37966176956 47457721195 54634254644 68292818305 94915442390 136585636610 189830884780 273171273220 560001110101 1120002220202 2240004440404 2800005550505 5600011101010 11200022202020