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2021132312000 = 26531773203579
BaseRepresentation
bin11101011010010100110…
…111111001110111000000
321011012220012000112021022
4131122110313321313000
5231103234332441000
64144254555445012
7266010354123104
oct35322467716700
97135805015238
102021132312000
1170a18055464a
12287861156768
131187906c40b9
146db752c5904
1537893363585
hex1d694df9dc0

2021132312000 has 224 divisors, whose sum is σ = 5372391510720. Its totient is φ = 750469939200.

The previous prime is 2021132311981. The next prime is 2021132312033. The reversal of 2021132312000 is 2132311202.

It is a super-2 number, since 2×20211323120002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2021132312000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9826211 + ... + 10029789.

Almost surely, 22021132312000 is an apocalyptic number.

2021132312000 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 2021132312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686195755360).

2021132312000 is an abundant number, since it is smaller than the sum of its proper divisors (3351259198720).

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

2021132312000 is a wasteful number, since it uses less digits than its factorization.

2021132312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203696 (or 203676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2021132312000 its reverse (2132311202), we get a palindrome (2023264623202).

The spelling of 2021132312000 in words is "two trillion, twenty-one billion, one hundred thirty-two million, three hundred twelve thousand".