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20211221200 = 2452431175071
BaseRepresentation
bin10010110100101011…
…101100001011010000
31221011112222102021011
4102310223230023100
5312343033034300
613141312340304
71313565355102
oct226453541320
957145872234
1020211221200
1186317866a5
123b00844694
131ba13905b1
14d9a389572
157d458eeba
hex4b4aec2d0

20211221200 has 60 divisors (see below), whose sum is σ = 49686744448. Its totient is φ = 7896470400.

The previous prime is 20211221167. The next prime is 20211221207. The reversal of 20211221200 is 212211202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211221207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570336 + ... + 604735.

Almost surely, 220211221200 is an apocalyptic number.

20211221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211221200 is an abundant number, since it is smaller than the sum of its proper divisors (29475523248).

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

20211221200 is a wasteful number, since it uses less digits than its factorization.

20211221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175132 (or 1175121 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20211221200 its reverse (212211202), we get a palindrome (20423432402).

It can be divided in two parts, 2021 and 1221200, that added together give a palindrome (1223221).

The spelling of 20211221200 in words is "twenty billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 4300 8600 17200 1175071 2350142 4700284 5875355 9400568 11750710 18801136 23501420 29376775 47002840 50528053 58753550 94005680 101056106 117507100 202112212 235014200 252640265 404224424 470028400 505280530 808448848 1010561060 1263201325 2021122120 2526402650 4042244240 5052805300 10105610600 20211221200