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11002100220 = 22325373075381
BaseRepresentation
bin10100011111100011…
…01011100111111100
31001101202101121012100
422033301223213330
5140013014201340
65015421105100
7536433210636
oct121761534774
931352347170
1011002100220
114736442811
1221706b8190
1310644b1597
14765299a56
15445d56830
hex28fc6b9fc

11002100220 has 144 divisors (see below), whose sum is σ = 34393046688. Its totient is φ = 2844771840.

The previous prime is 11002100159. The next prime is 11002100227. The reversal of 11002100220 is 2200120011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002100227) 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, 2041930 + ... + 2047310.

It is an arithmetic number, because the mean of its divisors is an integer number (238840602).

Almost surely, 211002100220 is an apocalyptic number.

11002100220 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 11002100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196523344).

11002100220 is an abundant number, since it is smaller than the sum of its proper divisors (23390946468).

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

11002100220 is a wasteful number, since it uses less digits than its factorization.

11002100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5735 counting only the distinct ones).

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

Adding to 11002100220 its reverse (2200120011), we get a palindrome (13202220231).

The spelling of 11002100220 in words is "eleven billion, two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 307 333 370 444 555 614 666 740 921 1110 1228 1332 1535 1665 1842 2220 2763 3070 3330 3684 4605 5381 5526 6140 6660 9210 10762 11052 11359 13815 16143 18420 21524 22718 26905 27630 32286 34077 45436 48429 53810 55260 56795 64572 68154 80715 96858 102231 107620 113590 136308 161430 170385 193716 199097 204462 227180 242145 322860 340770 398194 408924 484290 511155 597291 681540 796388 968580 995485 1022310 1194582 1651967 1791873 1990970 2044620 2389164 2986455 3303934 3583746 3981940 4955901 5972910 6607868 7167492 8259835 8959365 9911802 11945820 14867703 16519670 17918730 19823604 24779505 29735406 33039340 35837460 49559010 59470812 61122779 74338515 99118020 122245558 148677030 183368337 244491116 297354060 305613895 366736674 550105011 611227790 733473348 916841685 1100210022 1222455580 1833683370 2200420044 2750525055 3667366740 5501050110 11002100220