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132224342304213 = 3383983283321187
BaseRepresentation
bin11110000100000111100000…
…111101000010010111010101
3122100011112010202111000001000
4132010013200331002113111
5114312330423112213323
61145115005125053513
736564615315266505
oct3604074075022725
9570145122430030
10132224342304213
11391490351706a5
12129b5b68857299
1358a1918325113
1424919999d1a05
1510446d2aa4e43
hex7841e0f425d5

132224342304213 has 64 divisors (see below), whose sum is σ = 198529105582080. Its totient is φ = 86964111108864.

The previous prime is 132224342304169. The next prime is 132224342304251. The reversal of 132224342304213 is 312403243422231.

132224342304213 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 4 + 342 + 304 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 132224342304213 - 246 = 61855598126549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132224342304113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6240813606 + ... + 6240834792.

It is an arithmetic number, because the mean of its divisors is an integer number (3102017274720).

Almost surely, 2132224342304213 is an apocalyptic number.

It is an amenable number.

132224342304213 is a deficient number, since it is larger than the sum of its proper divisors (66304763277867).

132224342304213 is a wasteful number, since it uses less digits than its factorization.

132224342304213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25095 (or 25089 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 132224342304213 its reverse (312403243422231), we get a palindrome (444627585726444).

The spelling of 132224342304213 in words is "one hundred thirty-two trillion, two hundred twenty-four billion, three hundred forty-two million, three hundred four thousand, two hundred thirteen".

Divisors: 1 3 9 27 83 249 747 983 2241 2833 2949 8499 8847 21187 25497 26541 63561 76491 81589 190683 235139 244767 572049 705417 734301 1758521 2116251 2202903 2784839 5275563 6348753 8354517 15826689 20826821 25063551 47480067 60022771 62480463 75190653 180068313 187441389 231141637 540204939 562324167 693424911 1620614817 1728626143 2080274733 4981889993 5185878429 6240824199 14945669979 15557635287 44837009937 46672905861 59002383893 134511029811 177007151679 531021455037 1593064365111 4897197863119 14691593589357 44074780768071 132224342304213