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20332300120 = 23511443104311
BaseRepresentation
bin10010111011111001…
…100100011101011000
31221110222210212022121
4102323321210131120
5313120032100440
613201315431024
71316565461626
oct227371443530
957428725277
1020332300120
118694065020
123b352b5474
131bc04a4622
14dac4a6516
157e000a34a
hex4bbe64758

20332300120 has 64 divisors (see below), whose sum is σ = 50019690240. Its totient is φ = 7376803200.

The previous prime is 20332300061. The next prime is 20332300123. The reversal of 20332300120 is 2100323302.

It is a junction number, because it is equal to n+sod(n) for n = 20332300094 and 20332300103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332300123) 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 15 ways as a sum of consecutive naturals, for example, 142765 + ... + 247075.

It is an arithmetic number, because the mean of its divisors is an integer number (781557660).

Almost surely, 220332300120 is an apocalyptic number.

20332300120 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 20332300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009845120).

20332300120 is an abundant number, since it is smaller than the sum of its proper divisors (29687390120).

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

20332300120 is a wasteful number, since it uses less digits than its factorization.

20332300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104776 (or 104772 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20332300120 its reverse (2100323302), we get a palindrome (22432623422).

It can be divided in two parts, 203 and 32300120, that added together give a palindrome (32300323).

The spelling of 20332300120 in words is "twenty billion, three hundred thirty-two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 443 886 1772 2215 3544 4430 4873 8860 9746 17720 19492 24365 38984 48730 97460 104311 194920 208622 417244 521555 834488 1043110 1147421 2086220 2294842 4172440 4589684 5737105 9179368 11474210 22948420 45896840 46209773 92419546 184839092 231048865 369678184 462097730 508307503 924195460 1016615006 1848390920 2033230012 2541537515 4066460024 5083075030 10166150060 20332300120