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20223141120 = 28325713101191
BaseRepresentation
bin10010110101011001…
…001010010100000000
31221012101102000022200
4102311121022110000
5312404111003440
613142420033200
71314101602050
oct226531122400
957171360280
1020223141120
118638488276
123b04832800
131ba39a4cc0
14d9bbad560
157d5646c30
hex4b564a500

20223141120 has 864 divisors, whose sum is σ = 87424856064. Its totient is φ = 4202496000.

The previous prime is 20223141119. The next prime is 20223141151. The reversal of 20223141120 is 2114132202.

It is a happy number.

20223141120 is a `hidden beast` number, since 2 + 0 + 2 + 231 + 411 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20223141093 and 20223141102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105880225 + ... + 105880415.

It is an arithmetic number, because the mean of its divisors is an integer number (101186176).

Almost surely, 220223141120 is an apocalyptic number.

20223141120 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 20223141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43712428032).

20223141120 is an abundant number, since it is smaller than the sum of its proper divisors (67201714944).

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

20223141120 is a wasteful number, since it uses less digits than its factorization.

20223141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20223141120 its reverse (2114132202), we get a palindrome (22337273322).

The spelling of 20223141120 in words is "twenty billion, two hundred twenty-three million, one hundred forty-one thousand, one hundred twenty".