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20132311320 = 23335113115449
BaseRepresentation
bin10010101111111110…
…101011000100011000
31220222001111101021000
4102233332223010120
5312212332430240
613125413145000
71311616552122
oct225776530430
956861441230
1020132311320
1185a118a520
123a9a32b160
131b8ac22464
14d8dac8212
157cc6a4430
hex4affab118

20132311320 has 256 divisors, whose sum is σ = 73457280000. Its totient is φ = 4863974400.

The previous prime is 20132311313. The next prime is 20132311321. The reversal of 20132311320 is 2311323102.

20132311320 is a `hidden beast` number, since 2 + 0 + 1 + 32 + 311 + 320 = 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 = 20132311293 and 20132311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132311321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3691956 + ... + 3697404.

It is an arithmetic number, because the mean of its divisors is an integer number (286942500).

Almost surely, 220132311320 is an apocalyptic number.

20132311320 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 20132311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36728640000).

20132311320 is an abundant number, since it is smaller than the sum of its proper divisors (53324968680).

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

20132311320 is a wasteful number, since it uses less digits than its factorization.

20132311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20132311320 its reverse (2311323102), we get a palindrome (22443634422).

The spelling of 20132311320 in words is "twenty billion, one hundred thirty-two million, three hundred eleven thousand, three hundred twenty".