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21131433112020 = 2235721167101223433
BaseRepresentation
bin1001100111000000010111…
…00100000111000111010100
32202211010220220110210212120
410303200023210013013110
510232204133334041040
6112535351340215540
74310460416550300
oct463401344070724
982733826423776
1021131433112020
116807877107360
1224534b623a5b0
13ba38bb32717a
14530aa4220d00
15269a251967d0
hex13380b9071d4

21131433112020 has 1152 divisors, whose sum is σ = 77484032704512. Its totient is φ = 4253534208000.

The previous prime is 21131433112003. The next prime is 21131433112063. The reversal of 21131433112020 is 2021133413112.

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, 48802385724 + ... + 48802386156.

It is an arithmetic number, because the mean of its divisors is an integer number (67260445056).

Almost surely, 221131433112020 is an apocalyptic number.

21131433112020 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 21131433112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38742016352256).

21131433112020 is an abundant number, since it is smaller than the sum of its proper divisors (56352599592492).

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

21131433112020 is a wasteful number, since it uses less digits than its factorization.

21131433112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21131433112020 its reverse (2021133413112), we get a palindrome (23152566525132).

The spelling of 21131433112020 in words is "twenty-one trillion, one hundred thirty-one billion, four hundred thirty-three million, one hundred twelve thousand, twenty".