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2021400031332 = 22311172399139521
BaseRepresentation
bin11101011010100100110…
…101001011000001100100
321011020120211210002011010
4131122210311023001210
5231104311402000312
64144341321542220
7266020114524663
oct35324465130144
97136524702133
102021400031332
1170a2a86900a0
12287916944970
13118803ccbac6
146db9ca94dda
15378abae793c
hex1d6a4d4b064

2021400031332 has 192 divisors, whose sum is σ = 5690803765248. Its totient is φ = 550877184000.

The previous prime is 2021400031199. The next prime is 2021400031333. The reversal of 2021400031332 is 2331300041202.

It is a junction number, because it is equal to n+sod(n) for n = 2021400031299 and 2021400031308.

It is not an unprimeable number, because it can be changed into a prime (2021400031333) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 51127732 + ... + 51167252.

It is an arithmetic number, because the mean of its divisors is an integer number (29639602944).

Almost surely, 22021400031332 is an apocalyptic number.

2021400031332 is a gapful number since it is divisible by the number (22) 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 2021400031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845401882624).

2021400031332 is an abundant number, since it is smaller than the sum of its proper divisors (3669403733916).

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

2021400031332 is a wasteful number, since it uses less digits than its factorization.

2021400031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40570 (or 40568 counting only the distinct ones).

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

Adding to 2021400031332 its reverse (2331300041202), we get a palindrome (4352700072534).

The spelling of 2021400031332 in words is "two trillion, twenty-one billion, four hundred million, thirty-one thousand, three hundred thirty-two".