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20002111211120 = 2457313725000139
BaseRepresentation
bin1001000110001000110101…
…01110111100011001110000
32121211011221112002010212012
410203010122232330121300
510110203310432223440
6110312502032422052
74133050651021223
oct443043256743160
977734845063765
1020002111211120
116411936363215
1222b06626a7928
13b212637c879c
144d21707c55ba
1524a47a3b4e65
hex12311abbc670

20002111211120 has 80 divisors (see below), whose sum is σ = 47486065920480. Its totient is φ = 7833643241472.

The previous prime is 20002111211119. The next prime is 20002111211149. The reversal of 20002111211120 is 2111211120002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20002111211095 and 20002111211104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11699990 + ... + 13300149.

It is an arithmetic number, because the mean of its divisors is an integer number (593575824006).

Almost surely, 220002111211120 is an apocalyptic number.

20002111211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002111211120 is an abundant number, since it is smaller than the sum of its proper divisors (27483954709360).

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

20002111211120 is a wasteful number, since it uses less digits than its factorization.

20002111211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000362 (or 25000356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20002111211120 its reverse (2111211120002), we get a palindrome (22113322331122).

The spelling of 20002111211120 in words is "twenty trillion, two billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 137 146 274 292 365 548 584 685 730 1096 1168 1370 1460 2192 2740 2920 5480 5840 10001 10960 20002 40004 50005 80008 100010 160016 200020 400040 800080 25000139 50000278 100000556 125000695 200001112 250001390 400002224 500002780 1000005560 1825010147 2000011120 3425019043 3650020294 6850038086 7300040588 9125050735 13700076172 14600081176 17125095215 18250101470 27400152344 29200162352 34250190430 36500202940 54800304688 68500380860 73000405880 137000761720 146000811760 250026390139 274001523440 500052780278 1000105560556 1250131950695 2000211121112 2500263901390 4000422242224 5000527802780 10001055605560 20002111211120