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213313003302 = 23728925731721
BaseRepresentation
bin1100011010101001110…
…0100001111100100110
3202101121011001022202210
43012222130201330212
511443331112101202
6241554501544250
721261044416500
oct3065234417446
9671534038683
10213313003302
11825136a1673
1235412115086
13171664c2519
14a478246d70
155837102c6c
hex31aa721f26

213313003302 has 96 divisors (see below), whose sum is σ = 503824030560. Its totient is φ = 60025405440.

The previous prime is 213313003289. The next prime is 213313003303. The reversal of 213313003302 is 203300313312.

213313003302 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313003303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6708802 + ... + 6740522.

It is an arithmetic number, because the mean of its divisors is an integer number (5248166985).

Almost surely, 2213313003302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213313003302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251912015280).

213313003302 is an abundant number, since it is smaller than the sum of its proper divisors (290511027258).

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

213313003302 is a wasteful number, since it uses less digits than its factorization.

213313003302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32086 (or 32079 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 213313003302 its reverse (203300313312), we get a palindrome (416613316614).

The spelling of 213313003302 in words is "two hundred thirteen billion, three hundred thirteen million, three thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 89 98 147 178 257 267 294 514 534 623 771 1246 1542 1799 1869 3598 3738 4361 5397 8722 10794 12593 13083 22873 25186 26166 31721 37779 45746 63442 68619 75558 95163 137238 160111 190326 222047 320222 444094 480333 666141 960666 1120777 1332282 1554329 2241554 2823169 3108658 3362331 4662987 5646338 6724662 8152297 8469507 9325974 16304594 16939014 19762183 24456891 39524366 48913782 57066079 59286549 114132158 118573098 138335281 171198237 276670562 342396474 399462553 415005843 725554433 798925106 830011686 1198387659 1451108866 2176663299 2396775318 4353326598 5078881031 10157762062 15236643093 30473286186 35552167217 71104334434 106656501651 213313003302