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2021113200 = 243523154331
BaseRepresentation
bin111100001110111…
…1011110101110000
312012212002012002110
41320131323311300
513114401110300
6532315245320
7101041115211
oct17035736560
95185065073
102021113200
11947958297
12484a49840
1326295a392
141525d3408
15bc683550
hex7877bd70

2021113200 has 120 divisors (see below), whose sum is σ = 6683270656. Its totient is φ = 521568000.

The previous prime is 2021113147. The next prime is 2021113217. The reversal of 2021113200 is 23111202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10035 + ... + 64365.

Almost surely, 22021113200 is an apocalyptic number.

2021113200 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 2021113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341635328).

2021113200 is an abundant number, since it is smaller than the sum of its proper divisors (4662157456).

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

2021113200 is a wasteful number, since it uses less digits than its factorization.

2021113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54383 (or 54372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2021113200 is about 44956.7925902193. The cubic root of 2021113200 is about 1264.3390340618.

Adding to 2021113200 its reverse (23111202), we get a palindrome (2044224402).

It can be divided in two parts, 20211 and 13200, that added together give a triangular number (33411 = T258).

The spelling of 2021113200 in words is "two billion, twenty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 18600 37200 54331 108662 162993 217324 271655 325986 434648 543310 651972 814965 869296 1086620 1303944 1358275 1629930 1684261 2173240 2607888 2716550 3259860 3368522 4074825 4346480 5052783 5433100 6519720 6737044 8149650 8421305 10105566 10866200 13039440 13474088 16299300 16842610 20211132 21732400 25263915 26948176 32598600 33685220 40422264 42106525 50527830 65197200 67370440 80844528 84213050 101055660 126319575 134740880 168426100 202111320 252639150 336852200 404222640 505278300 673704400 1010556600 2021113200