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120323321020 = 225722347532143
BaseRepresentation
bin111000000001111010…
…1000010110010111100
3102111120112120000120001
41300003311002302330
53432410232233040
6131135322204044
711456503232200
oct1600365026274
9374515500501
10120323321020
1147035417a81
121b3a0053624
13b46718c096
145b7626ab00
1531e356e59a
hex1c03d42cbc

120323321020 has 288 divisors, whose sum is σ = 319297241088. Its totient is φ = 37874124288.

The previous prime is 120323321009. The next prime is 120323321039. The reversal of 120323321020 is 20123323021.

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 95 ways as a sum of consecutive naturals, for example, 56146069 + ... + 56148211.

It is an arithmetic number, because the mean of its divisors is an integer number (1108670976).

Almost surely, 2120323321020 is an apocalyptic number.

120323321020 is a gapful number since it is divisible by the number (10) 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 120323321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159648620544).

120323321020 is an abundant number, since it is smaller than the sum of its proper divisors (198973920068).

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

120323321020 is a wasteful number, since it uses less digits than its factorization.

120323321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 120323321020 its reverse (20123323021), we get a palindrome (140446644041).

The spelling of 120323321020 in words is "one hundred twenty billion, three hundred twenty-three million, three hundred twenty-one thousand, twenty".