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20213212332000 = 2535337358112713
BaseRepresentation
bin1001001100010010000010…
…10101110011111111100000
32122120100211112002012100210
410212021001111303333200
510122133124324111000
6110553453242214120
74154233146652152
oct446110125637740
978510745065323
1020213212332000
116493414449886
122325557ab4340
13b3813698902c
144dc478d7aad2
15250bd3200350
hex126241573fe0

20213212332000 has 384 divisors, whose sum is σ = 68032514729088. Its totient is φ = 5242632192000.

The previous prime is 20213212331999. The next prime is 20213212332107. The reversal of 20213212332000 is 23321231202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589957644 + ... + 1589970356.

It is an arithmetic number, because the mean of its divisors is an integer number (177168007107).

Almost surely, 220213212332000 is an apocalyptic number.

20213212332000 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 20213212332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34016257364544).

20213212332000 is an abundant number, since it is smaller than the sum of its proper divisors (47819302397088).

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

20213212332000 is a wasteful number, since it uses less digits than its factorization.

20213212332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16359 (or 16341 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20213212332000 its reverse (23321231202), we get a palindrome (20236533563202).

The spelling of 20213212332000 in words is "twenty trillion, two hundred thirteen billion, two hundred twelve million, three hundred thirty-two thousand".