Search a number
-
+
213303355000 = 235415121871
BaseRepresentation
bin1100011010100111011…
…1101110011001111000
3202101120110220010210021
43012221313232121320
511443321124330000
6241553515100224
721260566413361
oct3065167563170
9671513803707
10213303355000
118250920176a
123540aa41674
13171644c4a78
14a476c54b68
15583634911a
hex31a9dee678

213303355000 has 120 divisors (see below), whose sum is σ = 503370307440. Its totient is φ = 84711000000.

The previous prime is 213303354983. The next prime is 213303355061. The reversal of 213303355000 is 553303312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 114004065 + ... + 114005935.

It is an arithmetic number, because the mean of its divisors is an integer number (4194752562).

Almost surely, 2213303355000 is an apocalyptic number.

213303355000 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 213303355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251685153720).

213303355000 is an abundant number, since it is smaller than the sum of its proper divisors (290066952440).

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

213303355000 is an equidigital number, since it uses as much as digits as its factorization.

213303355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

Adding to 213303355000 its reverse (553303312), we get a palindrome (213856658312).

The spelling of 213303355000 in words is "two hundred thirteen billion, three hundred three million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 151 200 250 302 500 604 625 755 1000 1208 1250 1510 1871 2500 3020 3742 3775 5000 6040 7484 7550 9355 14968 15100 18710 18875 22801 30200 37420 37750 45602 46775 74840 75500 91204 93550 94375 114005 151000 182408 187100 188750 228010 233875 282521 374200 377500 456020 467750 565042 570025 755000 912040 935500 1130084 1140050 1169375 1412605 1871000 2260168 2280100 2338750 2825210 2850125 4560200 4677500 5650420 5700250 7063025 9355000 11300840 11400500 14126050 14250625 22801000 28252100 28501250 35315125 42660671 56504200 57002500 70630250 85321342 114005000 141260500 170642684 176575625 213303355 282521000 341285368 353151250 426606710 706302500 853213420 1066516775 1412605000 1706426840 2133033550 4266067100 5332583875 8532134200 10665167750 21330335500 26662919375 42660671000 53325838750 106651677500 213303355000