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20231010320 = 2455919122441
BaseRepresentation
bin10010110101110111…
…001011100000010000
31221012221012210211112
4102311313023200100
5312413114312240
613143300432452
71314225515243
oct226567134020
957187183745
1020231010320
118641972544
123b073a8728
131ba54cba31
14d9cc5b25a
157d619d665
hex4b5dcb810

20231010320 has 80 divisors (see below), whose sum is σ = 48086922240. Its totient is φ = 7913241600.

The previous prime is 20231010307. The next prime is 20231010329. The reversal of 20231010320 is 2301013202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20231010295 and 20231010304.

It is not an unprimeable number, because it can be changed into a prime (20231010329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890300 + ... + 912740.

It is an arithmetic number, because the mean of its divisors is an integer number (601086528).

Almost surely, 220231010320 is an apocalyptic number.

20231010320 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 20231010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24043461120).

20231010320 is an abundant number, since it is smaller than the sum of its proper divisors (27855911920).

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

20231010320 is a wasteful number, since it uses less digits than its factorization.

20231010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22704 (or 22698 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20231010320 its reverse (2301013202), we get a palindrome (22532023522).

The spelling of 20231010320 in words is "twenty billion, two hundred thirty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 191 236 295 382 472 590 764 944 955 1180 1528 1910 2360 3056 3820 4720 7640 11269 15280 22441 22538 44882 45076 56345 89764 90152 112205 112690 179528 180304 224410 225380 359056 448820 450760 897640 901520 1324019 1795280 2648038 4286231 5296076 6620095 8572462 10592152 13240190 17144924 21184304 21431155 26480380 34289848 42862310 52960760 68579696 85724620 105921520 171449240 252887629 342898480 505775258 1011550516 1264438145 2023101032 2528876290 4046202064 5057752580 10115505160 20231010320