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20231320120 = 2351154784059
BaseRepresentation
bin10010110101111000…
…010111001000111000
31221012221210112210121
4102311320113020320
5312413204220440
613143311223024
71314231245404
oct226570271070
957187715717
1020231320120
118642064280
123b07517a74
131ba55a9a4b
14d9ccdc104
157d621034a
hex4b5e17238

20231320120 has 64 divisors (see below), whose sum is σ = 49750070400. Its totient is φ = 7343306880.

The previous prime is 20231320073. The next prime is 20231320133. The reversal of 20231320120 is 2102313202.

It is a junction number, because it is equal to n+sod(n) for n = 20231320094 and 20231320103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198651 + ... + 282709.

It is an arithmetic number, because the mean of its divisors is an integer number (777344850).

Almost surely, 220231320120 is an apocalyptic number.

20231320120 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 20231320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24875035200).

20231320120 is an abundant number, since it is smaller than the sum of its proper divisors (29518750280).

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

20231320120 is a wasteful number, since it uses less digits than its factorization.

20231320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84628 (or 84624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20231320120 its reverse (2102313202), we get a palindrome (22333633322).

The spelling of 20231320120 in words is "twenty billion, two hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 547 1094 2188 2735 4376 5470 6017 10940 12034 21880 24068 30085 48136 60170 84059 120340 168118 240680 336236 420295 672472 840590 924649 1681180 1849298 3362360 3698596 4623245 7397192 9246490 18492980 36985960 45980273 91960546 183921092 229901365 367842184 459802730 505783003 919605460 1011566006 1839210920 2023132012 2528915015 4046264024 5057830030 10115660060 20231320120