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20331300132 = 2233111319193359
BaseRepresentation
bin10010111011110101…
…110000010100100100
31221110220221001121000
4102323311300110210
5313114303101012
613201242153300
71316554125333
oct227365602444
957426831530
1020331300132
118693541790
123b34ab2830
131bc0214410
14dac2c5d1a
157dedadddc
hex4bbd70524

20331300132 has 384 divisors, whose sum is σ = 65705472000. Its totient is φ = 5344911360.

The previous prime is 20331300131. The next prime is 20331300149. The reversal of 20331300132 is 23100313302.

20331300132 is a `hidden beast` number, since 2 + 0 + 331 + 300 + 1 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20331300131) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 56632969 + ... + 56633327.

It is an arithmetic number, because the mean of its divisors is an integer number (171108000).

Almost surely, 220331300132 is an apocalyptic number.

20331300132 is a gapful number since it is divisible by the number (22) 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 20331300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32852736000).

20331300132 is an abundant number, since it is smaller than the sum of its proper divisors (45374171868).

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

20331300132 is a wasteful number, since it uses less digits than its factorization.

20331300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20331300132 its reverse (23100313302), we get a palindrome (43431613434).

The spelling of 20331300132 in words is "twenty billion, three hundred thirty-one million, three hundred thousand, one hundred thirty-two".