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20302333011000 = 233253173753157431
BaseRepresentation
bin1001001110111000000010…
…10110001110010000111000
32122212212212111100202211200
410213130001112032100320
510130113134222323000
6111102432451454200
74163536511144505
oct447340126162070
978785774322750
1020302333011000
116518197781aa7
12233a88a2b7360
13b4366a575111
145028d11824ac
1525319c287500
hex12770158e438

20302333011000 has 1536 divisors, whose sum is σ = 76691971998720. Its totient is φ = 4822032384000.

The previous prime is 20302333010929. The next prime is 20302333011019. The reversal of 20302333011000 is 11033320302.

20302333011000 is a `hidden beast` number, since 2 + 0 + 30 + 233 + 301 + 100 + 0 = 666.

It is a super-2 number, since 2×203023330110002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 47105180785 + ... + 47105181215.

It is an arithmetic number, because the mean of its divisors is an integer number (49929669270).

Almost surely, 220302333011000 is an apocalyptic number.

20302333011000 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 20302333011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38345985999360).

20302333011000 is an abundant number, since it is smaller than the sum of its proper divisors (56389638987720).

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

20302333011000 is a wasteful number, since it uses less digits than its factorization.

20302333011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 705 counting only the distinct ones).

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

Adding to 20302333011000 its reverse (11033320302), we get a palindrome (20313366331302).

The spelling of 20302333011000 in words is "twenty trillion, three hundred two billion, three hundred thirty-three million, eleven thousand".