Search a number
-
+
13353440124222 = 23211263256432003
BaseRepresentation
bin1100001001010001011100…
…0011100001110100111110
31202021120120012110010220200
43002110113003201310332
53222240321132433342
644222252525024330
72545516460160342
oct302242703416476
952246505403820
1013353440124222
114289186910310
1215b7ba00b50a6
1375b2bb18aab3
1434244a70b622
1518254871b94c
hexc25170e1d3e

13353440124222 has 48 divisors (see below), whose sum is σ = 31682686958208. Its totient is φ = 4031111071440.

The previous prime is 13353440124203. The next prime is 13353440124259. The reversal of 13353440124222 is 22242104435331.

13353440124222 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 4 + 401 + 24 + 222 = 666.

It is a super-3 number, since 3×133534401242223 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128163928 + ... + 128268075.

It is an arithmetic number, because the mean of its divisors is an integer number (660055978296).

Almost surely, 213353440124222 is an apocalyptic number.

13353440124222 is an abundant number, since it is smaller than the sum of its proper divisors (18329246833986).

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

13353440124222 is a wasteful number, since it uses less digits than its factorization.

13353440124222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256432285 (or 256432282 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13353440124222 its reverse (22242104435331), we get a palindrome (35595544559553).

The spelling of 13353440124222 in words is "thirteen trillion, three hundred fifty-three billion, four hundred forty million, one hundred twenty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 263 526 789 1578 2367 2893 4734 5786 8679 17358 26037 52074 256432003 512864006 769296009 1538592018 2307888027 2820752033 4615776054 5641504066 8462256099 16924512198 25386768297 50773536594 67441616789 134883233578 202324850367 404649700734 606974551101 741857784679 1213949102202 1483715569358 2225573354037 4451146708074 6676720062111 13353440124222