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20210212100000 = 25551326957793
BaseRepresentation
bin1001001100001100011101…
…00000110101011110100000
32122120002002102121121210002
410212012032200311132200
510122111003244200000
6110552235424555132
74154065616262116
oct446061640653640
978502072547702
1020210212100000
1164921149400aa
122324a5b182aa8
13b37a79223020
144dc272713ab6
15250aa9b128d5
hex12618e8357a0

20210212100000 has 288 divisors, whose sum is σ = 53758524702960. Its totient is φ = 7434362880000.

The previous prime is 20210212099967. The next prime is 20210212100021. The reversal of 20210212100000 is 121201202.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 20009196170896 + 201015929104 = 4473164^2 + 448348^2 .

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 47 ways as a sum of consecutive naturals, for example, 349671104 + ... + 349728896.

Almost surely, 220210212100000 is an apocalyptic number.

20210212100000 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 20210212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879262351480).

20210212100000 is an abundant number, since it is smaller than the sum of its proper divisors (33548312602960).

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

20210212100000 is an equidigital number, since it uses as much as digits as its factorization.

20210212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58110 (or 58082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20210212100000 its reverse (121201202), we get a palindrome (20210333301202).

The spelling of 20210212100000 in words is "twenty trillion, two hundred ten billion, two hundred twelve million, one hundred thousand".