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2332122112320 = 26357111337107613
BaseRepresentation
bin100001111011111101010…
…011110110000101000000
322020221121121012020220220
4201323331103312011000
5301202141230043240
64543210114303040
7330330105610560
oct41737523660500
98227547166826
102332122112320
1181a058152550
12317b92b87a80
1313bbc22b8920
1480c37c00da0
15409e57495d0
hex21efd4f6140

2332122112320 has 1792 divisors, whose sum is σ = 10322620342272. Its totient is φ = 430459453440.

The previous prime is 2332122112319. The next prime is 2332122112321. The reversal of 2332122112320 is 232112212332.

2332122112320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2332122112319) and next prime (2332122112321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332122112321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3804440334 + ... + 3804440946.

It is an arithmetic number, because the mean of its divisors is an integer number (5760390816).

Almost surely, 22332122112320 is an apocalyptic number.

2332122112320 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 2332122112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161310171136).

2332122112320 is an abundant number, since it is smaller than the sum of its proper divisors (7990498229952).

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

2332122112320 is a wasteful number, since it uses less digits than its factorization.

2332122112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2332122112320 its reverse (232112212332), we get a palindrome (2564234324652).

It can be divided in two parts, 2332122 and 112320, that added together give a palindrome (2444442).

The spelling of 2332122112320 in words is "two trillion, three hundred thirty-two billion, one hundred twenty-two million, one hundred twelve thousand, three hundred twenty".