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11132003222300 = 22522322132187077
BaseRepresentation
bin1010000111111101111100…
…0110010000001100011100
31110102012122110000011022202
42201333133012100030130
52424341320311103200
635401545514431032
72226155263103042
oct241773706201434
943365573004282
1011132003222300
113602068676664
1212b9559432478
1362998833080c
142a6b12ad8392
1514488031a1d5
hexa1fdf19031c

11132003222300 has 72 divisors (see below), whose sum is σ = 25218129123936. Its totient is φ = 4257274658560.

The previous prime is 11132003222297. The next prime is 11132003222317. The reversal of 11132003222300 is 322230023111.

11132003222300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3996362 + ... + 6183438.

It is an arithmetic number, because the mean of its divisors is an integer number (350251793388).

Almost surely, 211132003222300 is an apocalyptic number.

11132003222300 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 11132003222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609064561968).

11132003222300 is an abundant number, since it is smaller than the sum of its proper divisors (14086125901636).

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

11132003222300 is a wasteful number, since it uses less digits than its factorization.

11132003222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189327 (or 2189320 counting only the distinct ones).

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

Adding to 11132003222300 its reverse (322230023111), we get a palindrome (11454233245411).

The spelling of 11132003222300 in words is "eleven trillion, one hundred thirty-two billion, three million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2213 2300 4426 8852 11065 22130 44260 50899 55325 101798 110650 203596 221300 254495 508990 1017980 1272475 2187077 2544950 4374154 5089900 8748308 10935385 21870770 43741540 50302771 54676925 100605542 109353850 201211084 218707700 251513855 503027710 1006055420 1257569275 2515138550 4840001401 5030277100 9680002802 19360005604 24200007005 48400014010 96800028020 111320032223 121000035025 222640064446 242000070050 445280128892 484000140100 556600161115 1113200322230 2226400644460 2783000805575 5566001611150 11132003222300