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2322122313330 = 2325236795317569
BaseRepresentation
bin100001110010101001010…
…001101000111001110010
322012222210200210211112100
4201302221101220321302
5301021201303011310
64534433540041230
7326524232663631
oct41625121507162
98188720724470
102322122313330
11815896565566
12316062093216
1313ac8a66bac1
1480569ad1518
154060c8caec0
hex21ca9468e72

2322122313330 has 192 divisors, whose sum is σ = 6401122640640. Its totient is φ = 582823600128.

The previous prime is 2322122313311. The next prime is 2322122313439. The reversal of 2322122313330 is 333132212232.

2322122313330 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 12 + 2 + 313 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2322122313294 and 2322122313303.

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 95 ways as a sum of consecutive naturals, for example, 132162786 + ... + 132180354.

It is an arithmetic number, because the mean of its divisors is an integer number (33339180420).

Almost surely, 22322122313330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322122313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200561320320).

2322122313330 is an abundant number, since it is smaller than the sum of its proper divisors (4079000327310).

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

2322122313330 is a wasteful number, since it uses less digits than its factorization.

2322122313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18625 (or 18622 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2322122313330 its reverse (333132212232), we get a palindrome (2655254525562).

The spelling of 2322122313330 in words is "two trillion, three hundred twenty-two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred thirty".