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2021020120 = 2357192383199
BaseRepresentation
bin111100001110110…
…0101000111011000
312012211220110102001
41320131211013120
513114340120440
6532313250344
7101040246640
oct17035450730
95184813361
102021020120
119478a4369
12484a039b4
13262926bc2
141525ab520
15bc665b9a
hex787651d8

2021020120 has 256 divisors, whose sum is σ = 5806080000. Its totient is φ = 617227776.

The previous prime is 2021020091. The next prime is 2021020147. The reversal of 2021020120 is 210201202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2021020097 and 2021020106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10155781 + ... + 10155979.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 22021020120 is an apocalyptic number.

2021020120 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 2021020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040000).

2021020120 is an abundant number, since it is smaller than the sum of its proper divisors (3785059880).

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

2021020120 is a wasteful number, since it uses less digits than its factorization.

2021020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2021020120 is about 44955.7573620999. The cubic root of 2021020120 is about 1264.3196245463.

Adding to 2021020120 its reverse (210201202), we get a palindrome (2231221322).

The spelling of 2021020120 in words is "two billion, twenty-one million, twenty thousand, one hundred twenty".