Search a number
-
+
11242215312240 = 24351138917109423
BaseRepresentation
bin1010001110011000100001…
…0000000000101101110000
31110210202010022111102101210
42203212020100000231300
52433143024104442430
635524334042200120
72240136401313363
oct243461020005560
943722108442353
1011242215312240
113644884507010
1213169971b3040
136371a0758913
142ac1aa12a0da
15147680d592b0
hexa3988400b70

11242215312240 has 160 divisors (see below), whose sum is σ = 38020452535296. Its totient is φ = 2725290593280.

The previous prime is 11242215312221. The next prime is 11242215312283. The reversal of 11242215312240 is 4221351224211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11242215312198 and 11242215312207.

It is a congruent number.

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, 102686169 + ... + 102795591.

Almost surely, 211242215312240 is an apocalyptic number.

11242215312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242215312240 is an abundant number, since it is smaller than the sum of its proper divisors (26778237223056).

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

11242215312240 is a wasteful number, since it uses less digits than its factorization.

11242215312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148367 (or 148361 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11242215312240 its reverse (4221351224211), we get a palindrome (15463566536451).

The spelling of 11242215312240 in words is "eleven trillion, two hundred forty-two billion, two hundred fifteen million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 38917 77834 109423 116751 155668 194585 218846 233502 311336 328269 389170 428087 437692 467004 547115 583755 622672 656538 778340 856174 875384 934008 1094230 1167510 1203653 1284261 1313076 1556680 1641345 1712348 1750768 1868016 2140435 2188460 2335020 2407306 2568522 2626152 3113360 3282690 3424696 3610959 4280870 4376920 4670040 4814612 5137044 5252304 6018265 6421305 6565380 6849392 7221918 8561740 8753840 9340080 9629224 10274088 12036530 12842610 13130760 14443836 17123480 18054795 19258448 20548176 24073060 25685220 26261520 28887672 34246960 36109590 48146120 51370440 57775344 72219180 96292240 102740880 144438360 288876720 4258414891 8516829782 12775244673 17033659564 21292074455 25550489346 34067319128 42584148910 46842563801 51100978692 63876223365 68134638256 85168297820 93685127602 102201957384 127752446730 140527691403 170336595640 187370255204 204403914768 234212819005 255504893460 281055382806 340673191280 374740510408 468425638010 511009786920 562110765612 702638457015 749481020816 936851276020 1022019573840 1124221531224 1405276914030 1873702552040 2248443062448 2810553828060 3747405104080 5621107656120 11242215312240