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1100022221100 = 2235211379009191
BaseRepresentation
bin10000000000011110011…
…011110000100100101100
310220011100102212201100110
4100000132123300210230
5121010321142033400
62201202045500020
7142321401414045
oct20003633604454
93804312781313
101100022221100
11394575959040
12159237271610
137c96858865a
143b35440d8cc
151d9328dee50
hex1001e6f092c

1100022221100 has 144 divisors (see below), whose sum is σ = 3565910267136. Its totient is φ = 259464672000.

The previous prime is 1100022221033. The next prime is 1100022221189. The reversal of 1100022221100 is 11222200011.

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

It is a zygodrome in base 10.

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, 4382496 + ... + 4626695.

It is an arithmetic number, because the mean of its divisors is an integer number (24763265744).

Almost surely, 21100022221100 is an apocalyptic number.

1100022221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100022221100 is an abundant number, since it is smaller than the sum of its proper divisors (2465888046036).

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

1100022221100 is a wasteful number, since it uses less digits than its factorization.

1100022221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009256 (or 9009249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100022221100 its reverse (11222200011), we get a palindrome (1111244421111).

The spelling of 1100022221100 in words is "one trillion, one hundred billion, twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 9009191 18018382 27027573 36036764 45045955 54055146 90091910 99101101 108110292 135137865 180183820 198202202 225229775 270275730 297303303 333340067 396404404 450459550 495505505 540551460 594606606 666680134 675689325 900919100 991011010 1000020201 1189213212 1333360268 1351378650 1486516515 1666700335 1982022020 2000040402 2477527525 2702757300 2973033030 3333400670 3666740737 4000080804 4955055050 5000101005 5946066060 6666801340 7333481474 7432582575 8333501675 9910110100 10000202010 11000222211 14666962948 14865165150 16667003350 18333703685 20000404020 22000444422 25000505025 29730330300 33334006700 36667407370 44000888844 50001010050 55001111055 73334814740 91668518425 100002020100 110002222110 183337036850 220004444220 275005555275 366674073700 550011110550 1100022221100