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11000021122020 = 2235725370594411
BaseRepresentation
bin1010000000010010010001…
…0110011111101111100100
31102221120222101101210021110
42200010210112133233210
52420211020401401040
635221201232145020
72213503530544500
oct240044426375744
942846871353243
1011000021122020
1135610a0176227
121297a64998170
1361a3b390b0a8
142a05922b3300
1514120847c980
hexa012459fbe4

11000021122020 has 144 divisors (see below), whose sum is σ = 36504652822848. Its totient is φ = 2466851063040.

The previous prime is 11000021122007. The next prime is 11000021122043. The reversal of 11000021122020 is 2022112000011.

It is a super-2 number, since 2×110000211220202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11000021121987 and 11000021122005.

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, 35141386 + ... + 35453025.

It is an arithmetic number, because the mean of its divisors is an integer number (253504533492).

Almost surely, 211000021122020 is an apocalyptic number.

11000021122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000021122020 is an abundant number, since it is smaller than the sum of its proper divisors (25504631700828).

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

11000021122020 is a wasteful number, since it uses less digits than its factorization.

11000021122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70594490 (or 70594481 counting only the distinct ones).

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

Adding to 11000021122020 its reverse (2022112000011), we get a palindrome (13022133122031).

The spelling of 11000021122020 in words is "eleven trillion, twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 53 60 70 84 98 105 106 140 147 159 196 210 212 245 265 294 318 371 420 490 530 588 636 735 742 795 980 1060 1113 1470 1484 1590 1855 2226 2597 2940 3180 3710 4452 5194 5565 7420 7791 10388 11130 12985 15582 22260 25970 31164 38955 51940 77910 155820 70594411 141188822 211783233 282377644 352972055 423566466 494160877 705944110 847132932 988321754 1058916165 1411888220 1482482631 1976643508 2117832330 2470804385 2964965262 3459126139 3741503783 4235664660 4941608770 5929930524 6918252278 7412413155 7483007566 9883217540 10377378417 11224511349 13836504556 14824826310 14966015132 17295630695 18707518915 20754756834 22449022698 26190526481 29649652620 34591261390 37415037830 41509513668 44898045396 51886892085 52381052962 56122556745 69182522780 74830075660 78571579443 103773784170 104762105924 112245113490 130952632405 157143158886 183333685367 207547568340 224490226980 261905264810 314286317772 366667370734 392857897215 523810529620 550001056101 733334741468 785715794430 916668426835 1100002112202 1571431588860 1833336853670 2200004224404 2750005280505 3666673707340 5500010561010 11000021122020