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11020232244340 = 225112101283159319
BaseRepresentation
bin1010000001011101100100…
…0001110011110001110100
31110000112010221012011220101
42200113121001303301310
52421023413423304330
635234342542443444
72215120425341404
oct240273101636164
943015127164811
1011020232244340
113569721894600
12129b965593584
1361c284c65677
142a154c634804
151419dc9ed4ca
hexa05d9073c74

11020232244340 has 144 divisors (see below), whose sum is σ = 25780405311360. Its totient is φ = 3953635488000.

The previous prime is 11020232244337. The next prime is 11020232244377. The reversal of 11020232244340 is 4344223202011.

It is a junction number, because it is equal to n+sod(n) for n = 11020232244299 and 11020232244308.

It is a congruent number.

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, 69091201 + ... + 69250519.

It is an arithmetic number, because the mean of its divisors is an integer number (179030592440).

Almost surely, 211020232244340 is an apocalyptic number.

11020232244340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020232244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890202655680).

11020232244340 is an abundant number, since it is smaller than the sum of its proper divisors (14760173067020).

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

11020232244340 is a wasteful number, since it uses less digits than its factorization.

11020232244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159734 (or 159721 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 11020232244340 its reverse (4344223202011), we get a palindrome (15364455446351).

The spelling of 11020232244340 in words is "eleven trillion, twenty billion, two hundred thirty-two million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 283 404 484 505 566 605 1010 1111 1132 1210 1415 2020 2222 2420 2830 3113 4444 5555 5660 6226 11110 12221 12452 15565 22220 24442 28583 31130 34243 48884 57166 61105 62260 68486 114332 122210 136972 142915 159319 171215 244420 285830 314413 318638 342430 571660 628826 637276 684860 796595 1257652 1572065 1593190 1752509 3144130 3186380 3458543 3505018 6288260 6917086 7010036 8762545 13834172 16091219 17292715 17525090 19277599 32182438 34585430 35050180 38555198 45087277 64364876 69170860 77110396 80456095 90174554 96387995 160912190 177003409 180349108 192775990 225436385 321824380 354006818 385551980 450872770 495960047 708013636 885017045 901745540 991920094 1770034090 1947037499 1983840188 2479800235 3540068180 3894074998 4553814977 4959600470 5455560517 7788149996 9107629954 9735187495 9919200940 10911121034 18215259908 19470374990 21822242068 22769074885 27277802585 38940749980 45538149770 50091964747 54555605170 91076299540 100183929494 109111210340 200367858988 250459823735 500919647470 551011612217 1001839294940 1102023224434 2204046448868 2755058061085 5510116122170 11020232244340