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2033122020000 = 2535473945853
BaseRepresentation
bin11101100101011111100…
…001000000101010100000
321012100211202202210122120
4131211133201000222200
5231302313214120000
64154000420504240
7266613442013031
oct35453741005240
97170752683576
102033122020000
11714273416735
1228a04854b080
13119951694186
14705917c4a88
1537d45c4e6a0
hex1d95f840aa0

2033122020000 has 240 divisors, whose sum is σ = 6678216911520. Its totient is φ = 541420416000.

The previous prime is 2033122019933. The next prime is 2033122020011. The reversal of 2033122020000 is 202213302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44317074 + ... + 44362926.

It is an arithmetic number, because the mean of its divisors is an integer number (27825903798).

Almost surely, 22033122020000 is an apocalyptic number.

2033122020000 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 2033122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339108455760).

2033122020000 is an abundant number, since it is smaller than the sum of its proper divisors (4645094891520).

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

2033122020000 is an equidigital number, since it uses as much as digits as its factorization.

2033122020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46625 (or 46602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2033122020000 its reverse (202213302), we get a palindrome (2033324233302).

The spelling of 2033122020000 in words is "two trillion, thirty-three billion, one hundred twenty-two million, twenty thousand".