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2231131132200 = 2335223612650429
BaseRepresentation
bin100000011101111001110…
…001110101000100101000
321220021221100211220111210
4200131321301311010220
5243023324032212300
64424544551153120
7320123336466315
oct40357161650450
97807840756453
102231131132200
117902433a4413
123004a93757a0
131325193a9719
1479db72ddd0c
153d084511050
hex20779c75128

2231131132200 has 192 divisors, whose sum is σ = 7335542102400. Its totient is φ = 559770393600.

The previous prime is 2231131132199. The next prime is 2231131132229. The reversal of 2231131132200 is 22311311322.

It is a super-3 number, since 3×22311311322003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483415 + ... + 2167014.

It is an arithmetic number, because the mean of its divisors is an integer number (38205948450).

Almost surely, 22231131132200 is an apocalyptic number.

2231131132200 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 2231131132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667771051200).

2231131132200 is an abundant number, since it is smaller than the sum of its proper divisors (5104410970200).

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

2231131132200 is a wasteful number, since it uses less digits than its factorization.

2231131132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650532 (or 2650523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2231131132200 its reverse (22311311322), we get a palindrome (2253442443522).

2231131132200 divided by its reverse (22311311322) gives a square (100 = 102).

The spelling of 2231131132200 in words is "two trillion, two hundred thirty-one billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred".