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2021201120 = 25536734421
BaseRepresentation
bin111100001111001…
…0001010011100000
312012212020122200202
41320132101103200
513114411413440
6532321204332
7101041632431
oct17036212340
95185218622
102021201120
11947a08354
12484a906a8
1326298b3c3
14152617488
15bc69e615
hex787914e0

2021201120 has 48 divisors (see below), whose sum is σ = 4788237888. Its totient is φ = 806254080.

The previous prime is 2021201101. The next prime is 2021201123. The reversal of 2021201120 is 211021202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021201123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41510 + ... + 75930.

It is an arithmetic number, because the mean of its divisors is an integer number (99754956).

Almost surely, 22021201120 is an apocalyptic number.

2021201120 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 2021201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394118944).

2021201120 is an abundant number, since it is smaller than the sum of its proper divisors (2767036768).

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

2021201120 is a wasteful number, since it uses less digits than its factorization.

2021201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34803 (or 34795 counting only the distinct ones).

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

The square root of 2021201120 is about 44957.7704073501. The cubic root of 2021201120 is about 1264.3573670405.

Adding to 2021201120 its reverse (211021202), we get a palindrome (2232222322).

The spelling of 2021201120 in words is "two billion, twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 367 734 1468 1835 2936 3670 5872 7340 11744 14680 29360 34421 58720 68842 137684 172105 275368 344210 550736 688420 1101472 1376840 2753680 5507360 12632507 25265014 50530028 63162535 101060056 126325070 202120112 252650140 404240224 505300280 1010600560 2021201120