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22130011203300 = 2232527311131737797
BaseRepresentation
bin1010000100000100010110…
…11101001110011011100100
32220100121102112022210021200
411002002023131032123210
510400034230332001200
6115022215314242500
74442561210355000
oct502021335163344
986317375283250
1022130011203300
11706231543a180
122594b3bb86430
13c46b0ab430b0
14567153891700
152859bbb8b800
hex14208b74e6e4

22130011203300 has 3456 divisors, whose sum is σ = 103474027238400. Its totient is φ = 3882177331200.

The previous prime is 22130011203299. The next prime is 22130011203323. The reversal of 22130011203300 is 330211003122.

22130011203300 is a `hidden beast` number, since 2 + 2 + 1 + 300 + 11 + 20 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 27766638502 + ... + 27766639298.

It is an arithmetic number, because the mean of its divisors is an integer number (29940401400).

Almost surely, 222130011203300 is an apocalyptic number.

22130011203300 is a gapful number since it is divisible by the number (20) 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 22130011203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51737013619200).

22130011203300 is an abundant number, since it is smaller than the sum of its proper divisors (81344016035100).

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

22130011203300 is a wasteful number, since it uses less digits than its factorization.

22130011203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22130011203300 its reverse (330211003122), we get a palindrome (22460222206422).

The spelling of 22130011203300 in words is "twenty-two trillion, one hundred thirty billion, eleven million, two hundred three thousand, three hundred".