Search a number
-
+
11131000322200 = 2352112760360497
BaseRepresentation
bin1010000111111010001101…
…0100011111100010011000
31110102010001112212120000121
42201332203110133202120
52424332242040302300
635401302211043024
72226121364433043
oct241764324374230
943363045776017
1011131000322200
1136016a3551a00
1212b93195a0474
136298586195c5
142a6a59833c5a
1514482226481a
hexa1fa351f898

11131000322200 has 144 divisors (see below), whose sum is σ = 28450356951240. Its totient is φ = 4047037209600.

The previous prime is 11131000322147. The next prime is 11131000322209. The reversal of 11131000322200 is 222300013111.

11131000322200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131000322209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183962352 + ... + 184022848.

Almost surely, 211131000322200 is an apocalyptic number.

11131000322200 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 11131000322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225178475620).

11131000322200 is an abundant number, since it is smaller than the sum of its proper divisors (17319356629040).

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

11131000322200 is a wasteful number, since it uses less digits than its factorization.

11131000322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68138 (or 68118 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11131000322200 its reverse (222300013111), we get a palindrome (11353300335311).

The spelling of 11131000322200 in words is "eleven trillion, one hundred thirty-one billion, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 7603 12100 15206 24200 30412 38015 60497 60824 76030 83633 120994 152060 167266 190075 241988 302485 304120 334532 380150 418165 483976 604970 665467 669064 760300 836330 919963 1209940 1330934 1512425 1520600 1672660 1839926 2090825 2419880 2661868 3024850 3327335 3345320 3679852 4181650 4599815 5323736 6049700 6654670 7320137 7359704 8363300 9199630 12099400 13309340 14640274 16636675 16726600 18399260 22999075 26618680 29280548 33273350 36600685 36798520 45998150 58561096 66546700 73201370 91996300 133093400 146402740 183003425 183992600 292805480 366006850 459958691 732013700 919917382 1464027400 1839834764 2299793455 3679669528 4599586910 5059545601 9199173820 10119091202 11498967275 18398347640 20238182404 22997934550 25297728005 40476364808 45995869100 50595456010 55655001611 91991738200 101190912020 111310003222 126488640025 202381824040 222620006444 252977280050 278275008055 445240012888 505954560100 556550016110 1011909120200 1113100032220 1391375040275 2226200064440 2782750080550 5565500161100 11131000322200