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2021300000 = 2555172941
BaseRepresentation
bin111100001111010…
…1001011100100000
312012212102200022222
41320132221130200
513114423100000
6532323250212
7101042523626
oct17036513440
95185380288
102021300000
11947a75675
12484b19968
132629c4405
14152641516
15bc6bda85
hex787a9720

2021300000 has 288 divisors, whose sum is σ = 5581049040. Its totient is φ = 716800000.

The previous prime is 2021299991. The next prime is 2021300003. The reversal of 2021300000 is 31202.

It can be written as a sum of positive squares in 24 ways, for example, as 1834922896 + 186377104 = 42836^2 + 13652^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2021300003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49299980 + ... + 49300020.

Almost surely, 22021300000 is an apocalyptic number.

2021300000 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 2021300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790524520).

2021300000 is an abundant number, since it is smaller than the sum of its proper divisors (3559749040).

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

2021300000 is an equidigital number, since it uses as much as digits as its factorization.

2021300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2021300000 is about 44958.8700925635. The cubic root of 2021300000 is about 1264.3779847509.

Adding to 2021300000 its reverse (31202), we get a palindrome (2021331202).

The spelling of 2021300000 in words is "two billion, twenty-one million, three hundred thousand".