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11011100020020 = 2234513337509633
BaseRepresentation
bin1010000000111011100010…
…1101001000110100110100
31102222122120111022010020000
42200032320231020310310
52420401213101120040
635230232435311300
72214345215613612
oct240167055106464
942878514263200
1011011100020020
1135658659a2281
12129a03714b530
1361b45ac9b339
142a0d238406b2
15141655e04130
hexa03b8b48d34

11011100020020 has 120 divisors (see below), whose sum is σ = 34544886319944. Its totient is φ = 2936067416064.

The previous prime is 11011100020001. The next prime is 11011100020099. The reversal of 11011100020020 is 2002000111011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2254730256 + 11008845289764 = 47484^2 + 3317958^2 .

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 = 11011100019984 and 11011100020011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21351124 + ... + 21860756.

Almost surely, 211011100020020 is an apocalyptic number.

11011100020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011100020020 is an abundant number, since it is smaller than the sum of its proper divisors (23533786299924).

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

11011100020020 is a wasteful number, since it uses less digits than its factorization.

11011100020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522991 (or 522980 counting only the distinct ones).

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

Adding to 11011100020020 its reverse (2002000111011), we get a palindrome (13013100131031).

Subtracting from 11011100020020 its reverse (2002000111011), we obtain a palindrome (9009099909009).

The spelling of 11011100020020 in words is "eleven trillion, eleven billion, one hundred million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 13337 26674 40011 53348 66685 80022 120033 133370 160044 200055 240066 266740 360099 400110 480132 509633 600165 720198 800220 1019266 1080297 1200330 1440396 1528899 1800495 2038532 2160594 2400660 2548165 3057798 3600990 4321188 4586697 5096330 5401485 6115596 7201980 7644495 9173394 10192660 10802970 13760091 15288990 18346788 21605940 22933485 27520182 30577980 41280273 45866970 55040364 68800455 82560546 91733940 137600910 165121092 206401365 275201820 412802730 825605460 6796975321 13593950642 20390925963 27187901284 33984876605 40781851926 61172777889 67969753210 81563703852 101954629815 122345555778 135939506420 183518333667 203909259630 244691111556 305863889445 367036667334 407818519260 550555001001 611727778890 734073334668 917591668335 1101110002002 1223455557780 1835183336670 2202220004004 2752775005005 3670366673340 5505550010010 11011100020020