Search a number
-
+
11310212110120 = 23571110136357889
BaseRepresentation
bin1010010010010101110100…
…1011001101011100101000
31111001020122010110122120021
42210211131023031130220
52440301303300010440
640015501213410224
72245064412463540
oct244453513153450
944036563418507
1011310212110120
1136706a7974740
121327bb3199974
13640718b77571
142b15baa92320
1514931067384a
hexa495d2cd728

11310212110120 has 128 divisors (see below), whose sum is σ = 32041481299200. Its totient is φ = 3490357248000.

The previous prime is 11310212110111. The next prime is 11310212110139. The reversal of 11310212110120 is 2101121201311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11310212110094 and 11310212110103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17867865 + ... + 18490024.

It is an arithmetic number, because the mean of its divisors is an integer number (250324072650).

Almost surely, 211310212110120 is an apocalyptic number.

11310212110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310212110120 is an abundant number, since it is smaller than the sum of its proper divisors (20731269189080).

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

11310212110120 is a wasteful number, since it uses less digits than its factorization.

11310212110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36358019 (or 36358015 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11310212110120 its reverse (2101121201311), we get a palindrome (13411333311431).

The spelling of 11310212110120 in words is "eleven trillion, three hundred ten billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 770 808 1010 1111 1414 1540 2020 2222 2828 3080 3535 4040 4444 5555 5656 7070 7777 8888 11110 14140 15554 22220 28280 31108 38885 44440 62216 77770 155540 311080 36357889 72715778 145431556 181789445 254505223 290863112 363578890 399936779 509010446 727157780 799873558 1018020892 1272526115 1454315560 1599747116 1999683895 2036041784 2545052230 2799557453 3199494232 3672146789 3999367790 5090104460 5599114906 7344293578 7998735580 10180208920 11198229812 13997787265 14688587156 15997471160 18360733945 22396459624 25705027523 27995574530 29377174312 36721467890 40393614679 51410055046 55991149060 73442935780 80787229358 102820110092 111982298120 128525137615 146885871560 161574458716 201968073395 205640220184 257050275230 282755302753 323148917432 403936146790 514100550460 565510605506 807872293580 1028201100920 1131021211012 1413776513765 1615744587160 2262042422024 2827553027530 5655106055060 11310212110120