Search a number
-
+
11000011232100 = 22352114377519459
BaseRepresentation
bin1010000000010010001111…
…0000110001001101100100
31102221120221200210022212010
42200010203300301031210
52420211010333411400
635221200240154220
72213503350514062
oct240044360611544
942846850708763
1011000011232100
113561095630840
121297a61608970
1361a3b1857677
142a0590c5b032
15141207677450
hexa0123c31364

11000011232100 has 144 divisors (see below), whose sum is σ = 35527478595840. Its totient is φ = 2604653788800.

The previous prime is 11000011232099. The next prime is 11000011232101. The reversal of 11000011232100 is 123211000011.

It is an interprime number because it is at equal distance from previous prime (11000011232099) and next prime (11000011232101).

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

It is not an unprimeable number, because it can be changed into a prime (11000011232101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38617830 + ... + 38901629.

It is an arithmetic number, because the mean of its divisors is an integer number (246718601360).

Almost surely, 211000011232100 is an apocalyptic number.

11000011232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000011232100 is an abundant number, since it is smaller than the sum of its proper divisors (24527467363740).

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

11000011232100 is a wasteful number, since it uses less digits than its factorization.

11000011232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77519530 (or 77519523 counting only the distinct ones).

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

Adding to 11000011232100 its reverse (123211000011), we get a palindrome (11123222232111).

The spelling of 11000011232100 in words is "eleven trillion, eleven million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 9460 11825 12900 14190 23650 28380 35475 47300 70950 141900 77519459 155038918 232558377 310077836 387597295 465116754 775194590 852714049 930233508 1162791885 1550389180 1705428098 1937986475 2325583770 2558142147 3333336737 3410856196 3875972950 4263570245 4651167540 5116284294 5813959425 6666673474 7751945900 8527140490 10000010211 10232568588 11627918850 12790710735 13333346948 16666683685 17054280980 20000020422 21317851225 23255837700 25581421470 33333367370 36666704107 40000040844 42635702450 50000051055 51162842940 63953553675 66666734740 73333408214 83333418425 85271404900 100000102110 110000112321 127907107350 146666816428 166666836850 183333520535 200000204220 220000224642 250000255275 255814214700 333333673700 366667041070 440000449284 500000510550 550000561605 733334082140 916667602675 1000001021100 1100001123210 1833335205350 2200002246420 2750002808025 3666670410700 5500005616050 11000011232100