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11341032203000 = 2353109420124767
BaseRepresentation
bin1010010100001000101000…
…1100100010001011111000
31111011012012000220120212202
42211002022030202023320
52441302413220444000
640041555343125332
72250235231112663
oct245021214421370
944135160816782
1011341032203000
113682783022685
121331b748a3848
136435bb109006
142b2ca1db66da
1514a016292dd5
hexa508a3222f8

11341032203000 has 128 divisors (see below), whose sum is σ = 26788940006400. Its totient is φ = 4493543040000.

The previous prime is 11341032202961. The next prime is 11341032203021. The reversal of 11341032203000 is 30223014311.

It is a super-2 number, since 2×113410322030002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 457896617 + ... + 457921383.

It is an arithmetic number, because the mean of its divisors is an integer number (209288593800).

Almost surely, 211341032203000 is an apocalyptic number.

11341032203000 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 11341032203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394470003200).

11341032203000 is an abundant number, since it is smaller than the sum of its proper divisors (15447907803400).

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

11341032203000 is a wasteful number, since it uses less digits than its factorization.

11341032203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29098 (or 29084 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11341032203000 its reverse (30223014311), we get a palindrome (11371255217311).

The spelling of 11341032203000 in words is "eleven trillion, three hundred forty-one billion, thirty-two million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 4201 4360 5450 8402 10900 13625 16804 21005 21800 24767 27250 33608 42010 49534 54500 84020 99068 105025 109000 123835 168040 198136 210050 247670 420100 457909 495340 525125 619175 840200 915818 990680 1050250 1238350 1831636 2100500 2289545 2476700 2699603 3095875 3663272 4201000 4579090 4953400 5399206 6191750 9158180 10798412 11447725 12383500 13498015 18316360 21596824 22895450 24767000 26996030 45790900 53992060 57238625 67490075 91581800 104046167 107984120 114477250 134980150 208092334 228954500 269960300 337450375 416184668 457909000 520230835 539920600 674900750 832369336 1040461670 1349801500 2080923340 2601154175 2699603000 4161846680 5202308350 10404616700 11341032203 13005770875 20809233400 22682064406 26011541750 45364128812 52023083500 56705161015 90728257624 104046167000 113410322030 226820644060 283525805075 453641288120 567051610150 1134103220300 1417629025375 2268206440600 2835258050750 5670516101500 11341032203000