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11000020202010 = 233579076416887
BaseRepresentation
bin1010000000010010010001…
…0010111111001000011010
31102221120222022200001021000
42200010210102333020122
52420211020132431020
635221201200325430
72213503516663320
oct240044422771032
942846868601230
1011000020202010
11356109a6a7a94
121297a64613876
1361a3b36783c8
142a0592113d10
1514120834a090
hexa01244bf21a

11000020202010 has 128 divisors (see below), whose sum is σ = 33560837591040. Its totient is φ = 2511517845312.

The previous prime is 11000020201969. The next prime is 11000020202077. The reversal of 11000020202010 is 1020202000011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11000020201983 and 11000020202001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1494214 + ... + 4922673.

It is an arithmetic number, because the mean of its divisors is an integer number (262194043680).

Almost surely, 211000020202010 is an apocalyptic number.

11000020202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000020202010 is an abundant number, since it is smaller than the sum of its proper divisors (22560817389030).

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

11000020202010 is a wasteful number, since it uses less digits than its factorization.

11000020202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417817 (or 6417811 counting only the distinct ones).

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

Adding to 11000020202010 its reverse (1020202000011), we get a palindrome (12020222202021).

The spelling of 11000020202010 in words is "eleven trillion, twenty million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 907 945 1814 1890 2721 4535 5442 6349 8163 9070 12698 13605 16326 19047 24489 27210 31745 38094 40815 48978 57141 63490 81630 95235 114282 122445 171423 190470 244890 285705 342846 571410 857115 1714230 6416887 12833774 19250661 32084435 38501322 44918209 57751983 64168870 89836418 96253305 115503966 134754627 173255949 192506610 224591045 269509254 288759915 346511898 404263881 449182090 577519830 673773135 808527762 866279745 1212791643 1347546270 1732559490 2021319405 2425583286 4042638810 5820116509 6063958215 11640233018 12127916430 17460349527 29100582545 34920699054 40740815563 52381048581 58201165090 81481631126 87301747635 104762097162 122222446689 157143145743 174603495270 203704077815 244444893378 261905242905 314286291486 366667340067 407408155630 523810485810 611112233445 733334680134 785715728715 1100002020201 1222224466890 1571431457430 1833336700335 2200004040402 3666673400670 5500010101005 11000020202010