Search a number
-
+
11120002302000 = 243534019461143
BaseRepresentation
bin1010000111010001001111…
…0010011000000000110000
31110101001200002011020120010
42201310103302120000300
52424142231042131000
635352243013214520
72225252011004154
oct241642362300060
943331602136503
1011120002302000
1135a7a6a446609
1212b716a331440
136287c4c36147
142a62d4d1b064
151443cb966d50
hexa1d13c98030

11120002302000 has 160 divisors (see below), whose sum is σ = 35859885534720. Its totient is φ = 2964589689600.

The previous prime is 11120002301953. The next prime is 11120002302053. The reversal of 11120002302000 is 20320002111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 23883429 + ... + 24344571.

It is an arithmetic number, because the mean of its divisors is an integer number (224124284592).

Almost surely, 211120002302000 is an apocalyptic number.

11120002302000 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 11120002302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929942767360).

11120002302000 is an abundant number, since it is smaller than the sum of its proper divisors (24739883232720).

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

11120002302000 is a wasteful number, since it uses less digits than its factorization.

11120002302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465188 (or 465172 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11120002302000 its reverse (20320002111), we get a palindrome (11140322304111).

The spelling of 11120002302000 in words is "eleven trillion, one hundred twenty billion, two million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 4019 6000 8038 12057 16076 20095 24114 32152 40190 48228 60285 64304 80380 96456 100475 120570 160760 192912 200950 241140 301425 321520 401900 461143 482280 502375 602850 803800 922286 964560 1004750 1205700 1383429 1507125 1607600 1844572 2009500 2305715 2411400 2766858 3014250 3689144 4019000 4611430 4822800 5533716 6028500 6917145 7378288 8038000 9222860 11067432 11528575 12057000 13834290 18445720 22134864 23057150 24114000 27668580 34585725 36891440 46114300 55337160 57642875 69171450 92228600 110674320 115285750 138342900 172928625 184457200 230571500 276685800 345857250 461143000 553371600 691714500 922286000 1383429000 1853333717 2766858000 3706667434 5560001151 7413334868 9266668585 11120002302 14826669736 18533337170 22240004604 27800005755 29653339472 37066674340 44480009208 46333342925 55600011510 74133348680 88960018416 92666685850 111200023020 139000028775 148266697360 185333371700 222400046040 231666714625 278000057550 370666743400 444800092080 463333429250 556000115100 695000143875 741333486800 926666858500 1112000230200 1390000287750 1853333717000 2224000460400 2780000575500 3706667434000 5560001151000 11120002302000