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213113330200 = 23527189168629
BaseRepresentation
bin1100011001111010001…
…0110101101000011000
3202101002020022212202201
43012132202311220120
511442424003031300
6241523010135544
721253101263251
oct3063642655030
9671066285681
10213113330200
1182420a12281
12353772815b4
1317134020c64
14a45990bb28
15582481066a
hex319e8b5a18

213113330200 has 96 divisors (see below), whose sum is σ = 508115916000. Its totient is φ = 83099878400.

The previous prime is 213113330117. The next prime is 213113330201. The reversal of 213113330200 is 2033311312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113330201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179486 + ... + 1348114.

It is an arithmetic number, because the mean of its divisors is an integer number (5292874125).

Almost surely, 2213113330200 is an apocalyptic number.

213113330200 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 213113330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254057958000).

213113330200 is an abundant number, since it is smaller than the sum of its proper divisors (295002585800).

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

213113330200 is a wasteful number, since it uses less digits than its factorization.

213113330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168805 (or 168796 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213113330200 its reverse (2033311312), we get a palindrome (215146641512).

The spelling of 213113330200 in words is "two hundred thirteen billion, one hundred thirteen million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 89 100 142 178 200 284 355 356 445 568 710 712 890 1420 1775 1780 2225 2840 3550 3560 4450 6319 7100 8900 12638 14200 17800 25276 31595 50552 63190 126380 157975 168629 252760 315950 337258 631900 674516 843145 1263800 1349032 1686290 3372580 4215725 6745160 8431450 11972659 15007981 16862900 23945318 30015962 33725800 47890636 59863295 60031924 75039905 95781272 119726590 120063848 150079810 239453180 299316475 300159620 375199525 478906360 598632950 600319240 750399050 1065566651 1197265900 1500798100 2131133302 2394531800 3001596200 4262266604 5327833255 8524533208 10655666510 21311333020 26639166275 42622666040 53278332550 106556665100 213113330200