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213323133030 = 235717253123609
BaseRepresentation
bin1100011010101100001…
…1001011000001100110
3202101121212002222010220
43012223003023001212
511443341210224110
6241555503025210
721261226466310
oct3065303130146
9671555088126
10213323133030
1182519390247
123541559b206
131716862b147
14a4797227b0
155837e54370
hex31ab0cb066

213323133030 has 128 divisors (see below), whose sum is σ = 619804431360. Its totient is φ = 45871288320.

The previous prime is 213323133019. The next prime is 213323133031. The reversal of 213323133030 is 30331323312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213323133031) by changing a digit.

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, 9023866 + ... + 9047474.

It is an arithmetic number, because the mean of its divisors is an integer number (4842222120).

Almost surely, 2213323133030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213323133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309902215680).

213323133030 is an abundant number, since it is smaller than the sum of its proper divisors (406481298330).

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

213323133030 is a wasteful number, since it uses less digits than its factorization.

213323133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26174.

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

Adding to 213323133030 its reverse (30331323312), we get a palindrome (243654456342).

The spelling of 213323133030 in words is "two hundred thirteen billion, three hundred twenty-three million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 2531 3570 5062 7593 12655 15186 17717 23609 25310 35434 37965 43027 47218 53151 70827 75930 86054 88585 106302 118045 129081 141654 165263 177170 215135 236090 258162 265755 301189 330526 354135 401353 430270 495789 531510 602378 645405 708270 802706 826315 903567 991578 1204059 1290810 1505945 1652630 1807134 2006765 2408118 2478945 2809471 3011890 4013530 4517835 4957890 5618942 6020295 8428413 9035670 12040590 14047355 16856826 28094710 42142065 59754379 84284130 119508758 179263137 298771895 358526274 418280653 597543790 836561306 896315685 1015824443 1254841959 1792631370 2031648886 2091403265 2509683918 3047473329 4182806530 5079122215 6094946658 6274209795 7110771101 10158244430 12548419590 14221542202 15237366645 21332313303 30474733290 35553855505 42664626606 71107711010 106661566515 213323133030