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11001001100220 = 22325377092329763
BaseRepresentation
bin1010000000010101111011…
…0000110100001110111100
31102221200111200101211122100
42200011132300310032330
52420220022240201340
635221442400345100
72213540030326005
oct240053660641674
942850450354570
1011001001100220
11356155336436a
121298099015190
1361a50b957c51
142a06464cc1ac
15141264506830
hexa015ec343bc

11001001100220 has 144 divisors (see below), whose sum is σ = 34319939865120. Its totient is φ = 2850286745088.

The previous prime is 11001001100213. The next prime is 11001001100261. The reversal of 11001001100220 is 2200110010011.

It is a happy number.

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

It is a congruent number.

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, 3557059 + ... + 5886821.

It is an arithmetic number, because the mean of its divisors is an integer number (238332915730).

Almost surely, 211001001100220 is an apocalyptic number.

11001001100220 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 11001001100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159969932560).

11001001100220 is an abundant number, since it is smaller than the sum of its proper divisors (23318938764900).

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

11001001100220 is a wasteful number, since it uses less digits than its factorization.

11001001100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330524 (or 2330519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001001100220 its reverse (2200110010011), we get a palindrome (13201111110231).

The spelling of 11001001100220 in words is "eleven trillion, one billion, one 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 90 111 148 180 185 222 333 370 444 555 666 709 740 1110 1332 1418 1665 2127 2220 2836 3330 3545 4254 6381 6660 7090 8508 10635 12762 14180 21270 25524 26233 31905 42540 52466 63810 78699 104932 127620 131165 157398 236097 262330 314796 393495 472194 524660 786990 944388 1180485 1573980 2329763 2360970 4659526 4721940 6989289 9319052 11648815 13978578 20967867 23297630 27957156 34946445 41935734 46595260 69892890 83871468 86201231 104839335 139785780 172402462 209678670 258603693 344804924 419357340 431006155 517207386 775811079 862012310 1034414772 1293018465 1551622158 1651801967 1724024620 2586036930 3103244316 3303603934 3879055395 4955405901 5172073860 6607207868 7758110790 8259009835 9910811802 14866217703 15516221580 16518019670 19821623604 24777029505 29732435406 33036039340 49554059010 59464870812 61116672779 74331088515 99108118020 122233345558 148662177030 183350018337 244466691116 297324354060 305583363895 366700036674 550050055011 611166727790 733400073348 916750091685 1100100110022 1222333455580 1833500183370 2200200220044 2750250275055 3667000366740 5500500550110 11001001100220