Search a number
-
+
2132231301333 = 33723783524801
BaseRepresentation
bin11111000001110010111…
…000111010100011010101
321112211122212100221121000
4133001302320322203111
5234413302203120313
64311311124413513
7310022452010100
oct37016270724325
97484585327530
102132231301333
11752301a89701
122a52a7b47299
131260b77a9943
14752b4423737
153a6e6b92673
hex1f072e3a8d5

2132231301333 has 96 divisors (see below), whose sum is σ = 3819383003520. Its totient is φ = 1171202457600.

The previous prime is 2132231301331. The next prime is 2132231301337. The reversal of 2132231301333 is 3331031322312.

2132231301333 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 23 + 1 + 301 + 333 = 666.

It is not a de Polignac number, because 2132231301333 - 21 = 2132231301331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2132231301297 and 2132231301306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132231301331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3800533 + ... + 4325333.

It is an arithmetic number, because the mean of its divisors is an integer number (39785239620).

Almost surely, 22132231301333 is an apocalyptic number.

It is an amenable number.

2132231301333 is a deficient number, since it is larger than the sum of its proper divisors (1687151702187).

2132231301333 is a wasteful number, since it uses less digits than its factorization.

2132231301333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524944 (or 524931 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2132231301333 its reverse (3331031322312), we get a palindrome (5463262623645).

The spelling of 2132231301333 in words is "two trillion, one hundred thirty-two billion, two hundred thirty-one million, three hundred one thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 37 49 63 83 111 147 189 249 259 333 441 581 747 777 999 1323 1743 1813 2241 2331 3071 4067 5229 5439 6993 9213 12201 15687 16317 21497 27639 36603 48951 64491 82917 109809 150479 193473 451437 524801 580419 1354311 1574403 3673607 4062933 4723209 11020821 14169627 19417637 25715249 33062463 43558483 58252911 77145747 99187389 130675449 135923459 174758733 231437241 304909381 392026347 407770377 524276199 694311723 914728143 951464213 1176079041 1223311131 1611663871 2134365667 2744184429 2854392639 3669933393 4834991613 6403097001 8232553287 8563177917 11281647097 14504974839 19209291003 25689533751 33844941291 43514924517 57627873009 78971529679 101534823873 236914589037 304604471619 710743767111 2132231301333