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120243311320 = 2351117291513671
BaseRepresentation
bin110111111111100001…
…1110101001011011000
3102111100222000002212211
41233333003311023120
53432224241430240
6131123343244504
711454512165566
oct1577703651330
9374328002784
10120243311320
1146aa423a560
121b3792a9734
13b453727472
145b697a0a36
1531db517bea
hex1bff0f52d8

120243311320 has 256 divisors, whose sum is σ = 325509580800. Its totient is φ = 39459840000.

The previous prime is 120243311299. The next prime is 120243311323. The reversal of 120243311320 is 23113342021.

120243311320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 120243311291 and 120243311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120243311323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32753085 + ... + 32756755.

It is an arithmetic number, because the mean of its divisors is an integer number (1271521800).

Almost surely, 2120243311320 is an apocalyptic number.

120243311320 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 120243311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162754790400).

120243311320 is an abundant number, since it is smaller than the sum of its proper divisors (205266269480).

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

120243311320 is a wasteful number, since it uses less digits than its factorization.

120243311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 120243311320 its reverse (23113342021), we get a palindrome (143356653341).

The spelling of 120243311320 in words is "one hundred twenty billion, two hundred forty-three million, three hundred eleven thousand, three hundred twenty".