Search a number
-
+
11322310202000 = 245371940341681
BaseRepresentation
bin1010010011000010111001…
…0001110001001010010000
31111002101212021011101200022
42210300232101301022100
52441001042402431000
640025221505443012
72246003254534460
oct244605621611220
944071767141608
1011322310202000
113675845a34186
12132a40a940468
136418c6435205
142b2007725ba0
151497bc81d585
hexa4c2e471290

11322310202000 has 160 divisors (see below), whose sum is σ = 31290758763264. Its totient is φ = 3881641728000.

The previous prime is 11322310201987. The next prime is 11322310202011. The reversal of 11322310202000 is 20201322311.

It is a self number, because there is not a number n which added to its sum of digits gives 11322310202000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271621160 + ... + 271662840.

Almost surely, 211322310202000 is an apocalyptic number.

11322310202000 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 11322310202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645379381632).

11322310202000 is an abundant number, since it is smaller than the sum of its proper divisors (19968448561264).

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

11322310202000 is a wasteful number, since it uses less digits than its factorization.

11322310202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61114 (or 61098 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11322310202000 its reverse (20201322311), we get a palindrome (11342511524311).

The spelling of 11322310202000 in words is "eleven trillion, three hundred twenty-two billion, three hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 19403 38806 41681 77612 83362 97015 135821 155224 166724 194030 208405 271642 291767 310448 333448 388060 416810 485075 543284 583534 666896 679105 776120 833620 970150 1042025 1086568 1167068 1358210 1458835 1552240 1667240 1940300 2084050 2173136 2334136 2425375 2716420 2917670 3334480 3395525 3880600 4168100 4668272 4850750 5210125 5432840 5835340 6791050 7294175 7761200 8336200 9701500 10420250 10865680 11670680 13582100 14588350 16672400 16977625 19403000 20840500 23341360 27164200 29176700 33955250 36470875 38806000 41681000 54328400 58353400 67910500 72941750 83362000 116706800 135821000 145883500 271642000 291767000 583534000 808736443 1617472886 3234945772 4043682215 5661155101 6469891544 8087364430 11322310202 12939783088 16174728860 20218411075 22644620404 28305775505 32349457720 40436822150 45289240808 56611551010 64698915440 80873644300 90578481616 101092055375 113223102020 141528877525 161747288600 202184110750 226446204040 283057755050 323494577200 404368221500 452892408080 566115510100 707644387625 808736443000 1132231020200 1415288775250 1617472886000 2264462040400 2830577550500 5661155101000 11322310202000