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2330103022320 = 24352937103107821
BaseRepresentation
bin100001111010000100111…
…101101000001011110000
322020202101212220212010210
4201322010331220023300
5301134022333203240
64542233510224120
7330226060620033
oct41720475501360
98222355825123
102330103022320
11819211457327
1231770a955040
1313b95cbb9408
1480ac59b701a
1540928365780
hex21e84f682f0

2330103022320 has 640 divisors, whose sum is σ = 7830810224640. Its totient is φ = 571953070080.

The previous prime is 2330103022309. The next prime is 2330103022321. The reversal of 2330103022320 is 232203010332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330103022321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2838127510 + ... + 2838128330.

It is an arithmetic number, because the mean of its divisors is an integer number (12235640976).

Almost surely, 22330103022320 is an apocalyptic number.

2330103022320 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 2330103022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915405112320).

2330103022320 is an abundant number, since it is smaller than the sum of its proper divisors (5500707202320).

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

2330103022320 is a wasteful number, since it uses less digits than its factorization.

2330103022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2330103022320 its reverse (232203010332), we get a palindrome (2562306032652).

The spelling of 2330103022320 in words is "two trillion, three hundred thirty billion, one hundred three million, twenty-two thousand, three hundred twenty".