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2301132022320 = 243529237308129
BaseRepresentation
bin100001011111000110001…
…010000010001000110000
322010222121211212120101210
4201133012022002020300
5300200204244203240
64521043033200120
7325152124314135
oct41370612021060
98128554776353
102301132022320
118079a504421a
12311b84560040
13138cc3a76271
147d5380a858c
153eccec4a780
hex217c6282230

2301132022320 has 240 divisors, whose sum is σ = 7587674134560. Its totient is φ = 576460652544.

The previous prime is 2301132022307. The next prime is 2301132022369. The reversal of 2301132022320 is 232202311032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7314016 + ... + 7622144.

It is an arithmetic number, because the mean of its divisors is an integer number (31615308894).

Almost surely, 22301132022320 is an apocalyptic number.

2301132022320 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 2301132022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793837067280).

2301132022320 is an abundant number, since it is smaller than the sum of its proper divisors (5286542112240).

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

2301132022320 is a wasteful number, since it uses less digits than its factorization.

2301132022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308240 (or 308205 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2301132022320 its reverse (232202311032), we get a palindrome (2533334333352).

The spelling of 2301132022320 in words is "two trillion, three hundred one billion, one hundred thirty-two million, twenty-two thousand, three hundred twenty".