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2030113200 = 243523894349
BaseRepresentation
bin111100100000001…
…0001000110110000
312020111000102202210
41321000101012300
513124202110300
6533240212120
7101210451243
oct17100210660
95214012683
102030113200
11951a45105
12487a6a040
1326478ba1b
1415389725a
15bd360050
hex790111b0

2030113200 has 120 divisors (see below), whose sum is σ = 6521346000. Its totient is φ = 539847680.

The previous prime is 2030113181. The next prime is 2030113201. The reversal of 2030113200 is 23110302.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (2030113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464626 + ... + 468974.

It is an arithmetic number, because the mean of its divisors is an integer number (54344550).

Almost surely, 22030113200 is an apocalyptic number.

2030113200 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 2030113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260673000).

2030113200 is an abundant number, since it is smaller than the sum of its proper divisors (4491232800).

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

2030113200 is a wasteful number, since it uses less digits than its factorization.

2030113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2030113200 is about 45056.7775145982. Note that the first 3 decimals coincide. The cubic root of 2030113200 is about 1266.2129523055.

Adding to 2030113200 its reverse (23110302), we get a palindrome (2053223502).

The spelling of 2030113200 in words is "two billion, thirty million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 389 400 600 778 1167 1200 1556 1945 2334 3112 3890 4349 4668 5835 6224 7780 8698 9336 9725 11670 13047 15560 17396 18672 19450 21745 23340 26094 29175 31120 34792 38900 43490 46680 52188 58350 65235 69584 77800 86980 93360 104376 108725 116700 130470 155600 173960 208752 217450 233400 260940 326175 347920 434900 466800 521880 652350 869800 1043760 1304700 1691761 1739600 2609400 3383522 5075283 5218800 6767044 8458805 10150566 13534088 16917610 20301132 25376415 27068176 33835220 40602264 42294025 50752830 67670440 81204528 84588050 101505660 126882075 135340880 169176100 203011320 253764150 338352200 406022640 507528300 676704400 1015056600 2030113200