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11331130022200 = 2352173766942703
BaseRepresentation
bin1010010011100011101111…
…1110101101100100111000
31111010020121221012200110201
42210320323332231210320
52441122123241202300
640033241013051544
72246434652011132
oct244707376554470
944106557180421
1011331130022200
11367956154a68a
121330070626bb4
136426a077a831
142b2602c38052
15149b36ca866a
hexa4e3bfad938

11331130022200 has 96 divisors (see below), whose sum is σ = 26501235508800. Its totient is φ = 4505559759360.

The previous prime is 11331130022161. The next prime is 11331130022203. The reversal of 11331130022200 is 222003113311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331130022203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265326049 + ... + 265368751.

It is an arithmetic number, because the mean of its divisors is an integer number (276054536550).

Almost surely, 211331130022200 is an apocalyptic number.

11331130022200 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 11331130022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250617754400).

11331130022200 is an abundant number, since it is smaller than the sum of its proper divisors (15170105486600).

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

11331130022200 is a wasteful number, since it uses less digits than its factorization.

11331130022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50561 (or 50552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11331130022200 its reverse (222003113311), we get a palindrome (11553133135511).

The spelling of 11331130022200 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 7669 8650 15338 17300 30676 34600 38345 42703 61352 76690 85406 153380 170812 191725 213515 306760 341624 383450 427030 766900 854060 1067575 1326737 1533800 1708120 2135150 2653474 4270300 5306948 6633685 7387619 8540600 10613896 13267370 14775238 26534740 29550476 33168425 36938095 53069480 59100952 66336850 73876190 132673700 147752380 184690475 265347400 295504760 327489307 369380950 654978614 738761900 1309957228 1477523800 1637446535 2619914456 3274893070 6549786140 8187232675 13099572280 16374465350 32748930700 56655650111 65497861400 113311300222 226622600444 283278250555 453245200888 566556501110 1133113002220 1416391252775 2266226004440 2832782505550 5665565011100 11331130022200