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213313301130 = 23531853268897
BaseRepresentation
bin1100011010101001110…
…1101010101010001010
3202101121011121110022110
43012222131222222022
511443331201114010
6241554512203150
721261050100006
oct3065235525212
9671534543273
10213313301130
1182513885406
12354122394b6
1317166597c57
14a4782c3706
155837161120
hex31aa76aa8a

213313301130 has 64 divisors (see below), whose sum is σ = 529088007168. Its totient is φ = 54983854080.

The previous prime is 213313301111. The next prime is 213313301147. The reversal of 213313301130 is 31103313312.

213313301130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213313301097 and 213313301106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658842 + ... + 927738.

It is an arithmetic number, because the mean of its divisors is an integer number (8267000112).

Almost surely, 2213313301130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213313301130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264544003584).

213313301130 is an abundant number, since it is smaller than the sum of its proper divisors (315774706038).

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

213313301130 is a wasteful number, since it uses less digits than its factorization.

213313301130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269791.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 213313301130 its reverse (31103313312), we get a palindrome (244416614442).

The spelling of 213313301130 in words is "two hundred thirteen billion, three hundred thirteen million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 853 930 1706 2559 4265 5118 8530 12795 25590 26443 52886 79329 132215 158658 264430 268897 396645 537794 793290 806691 1344485 1613382 2688970 4033455 8066910 8335807 16671614 25007421 41679035 50014842 83358070 125037105 229369141 250074210 458738282 688107423 1146845705 1376214846 2293691410 3440537115 6881074230 7110443371 14220886742 21331330113 35552216855 42662660226 71104433710 106656650565 213313301130