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213301333230 = 235237122919013
BaseRepresentation
bin1100011010100111000…
…0000000110011101110
3202101120100002102102220
43012221300000303232
511443320120130410
6241553403500210
721260543263116
oct3065160006356
9671510072386
10213301333230
1182508050787
123540a227666
1317163c6775b
14a47688a046
15583609a070
hex31a9c00cee

213301333230 has 128 divisors (see below), whose sum is σ = 544098539520. Its totient is φ = 53403947520.

The previous prime is 213301333229. The next prime is 213301333291. The reversal of 213301333230 is 32333103312.

It is a self number, because there is not a number n which added to its sum of digits gives 213301333230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11209204 + ... + 11228216.

It is an arithmetic number, because the mean of its divisors is an integer number (4250769840).

Almost surely, 2213301333230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213301333230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272049269760).

213301333230 is an abundant number, since it is smaller than the sum of its proper divisors (330797206290).

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

213301333230 is a wasteful number, since it uses less digits than its factorization.

213301333230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19346.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 213301333230 its reverse (32333103312), we get a palindrome (245634436542).

The spelling of 213301333230 in words is "two hundred thirteen billion, three hundred one million, three hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 213 229 230 345 355 426 458 687 690 710 1065 1145 1374 1633 2130 2290 3266 3435 4899 5267 6870 8165 9798 10534 15801 16259 16330 19013 24495 26335 31602 32518 38026 48777 48990 52670 57039 79005 81295 95065 97554 114078 158010 162590 190130 243885 285195 373957 437299 487770 570390 747914 874598 1121871 1311897 1349923 1869785 2186495 2243742 2623794 2699846 3739570 4049769 4353977 4372990 5609355 6559485 6749615 8099538 8707954 11218710 13061931 13118970 13499230 20248845 21769885 26123862 31048229 40497690 43539770 62096458 65309655 93144687 100141471 130619310 155241145 186289374 200282942 300424413 309132367 310482290 465723435 500707355 600848826 618264734 927397101 931446870 1001414710 1502122065 1545661835 1854794202 3004244130 3091323670 4636985505 7110044441 9273971010 14220088882 21330133323 35550222205 42660266646 71100444410 106650666615 213301333230