Search a number
-
+
213020031200 = 2552838533761
BaseRepresentation
bin1100011001100011111…
…0111011100011100000
3202100211201202210121012
43012120332323203200
511442231111444300
6241505434320052
721250556250434
oct3063076734340
9670751683535
10213020031200
1182383288369
123534bb89028
131711a8b5552
14a44b3829c4
15581b531435
hex3198fbb8e0

213020031200 has 144 divisors (see below), whose sum is σ = 527057734896. Its totient is φ = 84060364800.

The previous prime is 213020031113. The next prime is 213020031221. The reversal of 213020031200 is 2130020312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56637320 + ... + 56641080.

It is an arithmetic number, because the mean of its divisors is an integer number (3660123159).

Almost surely, 2213020031200 is an apocalyptic number.

213020031200 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 213020031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263528867448).

213020031200 is an abundant number, since it is smaller than the sum of its proper divisors (314037703696).

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

213020031200 is a wasteful number, since it uses less digits than its factorization.

213020031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 213020031200 its reverse (2130020312), we get a palindrome (215150051512).

The spelling of 213020031200 in words is "two hundred thirteen billion, twenty million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 664 800 830 853 1328 1660 1706 2075 2656 3320 3412 3761 4150 4265 6640 6824 7522 8300 8530 13280 13648 15044 16600 17060 18805 21325 27296 30088 33200 34120 37610 42650 60176 66400 68240 70799 75220 85300 94025 120352 136480 141598 150440 170600 188050 283196 300880 312163 341200 353995 376100 566392 601760 624326 682400 707990 752200 1132784 1248652 1415980 1504400 1560815 1769975 2265568 2497304 2831960 3008800 3121630 3208133 3539950 4994608 5663920 6243260 6416266 7079900 7804075 9989216 11327840 12486520 12832532 14159800 15608150 16040665 24973040 25665064 28319600 31216300 32081330 49946080 51330128 56639200 62432600 64162660 80203325 102660256 124865200 128325320 160406650 249730400 256650640 266275039 320813300 513301280 532550078 641626600 1065100156 1283253200 1331375195 2130200312 2566506400 2662750390 4260400624 5325500780 6656875975 8520801248 10651001560 13313751950 21302003120 26627503900 42604006240 53255007800 106510015600 213020031200