Search a number
-
+
21313120332213 = 3437103109633427
BaseRepresentation
bin1001101100010010110001…
…11101110110100110110101
32210110111220000000220010000
410312021120331312212311
510243143232301112323
6113155040132021513
74326551663464563
oct466113075664665
983414800026100
1021313120332213
116877930882a96
122482760a61899
13bb7a84692058
145397bc136a33
1526e60aa7be43
hex136258f769b5

21313120332213 has 80 divisors (see below), whose sum is σ = 33319022239360. Its totient is φ = 13564883666304.

The previous prime is 21313120332199. The next prime is 21313120332233. The reversal of 21313120332213 is 31223302131312.

21313120332213 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 312 + 0 + 332 + 2 + 13 = 666.

It is not a de Polignac number, because 21313120332213 - 220 = 21313119283637 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313120332233) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33330606 + ... + 33964032.

It is an arithmetic number, because the mean of its divisors is an integer number (416487777992).

Almost surely, 221313120332213 is an apocalyptic number.

It is an amenable number.

21313120332213 is a deficient number, since it is larger than the sum of its proper divisors (12005901907147).

21313120332213 is a wasteful number, since it uses less digits than its factorization.

21313120332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633688 (or 633679 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21313120332213 its reverse (31223302131312), we get a palindrome (52536422463525).

The spelling of 21313120332213 in words is "twenty-one trillion, three hundred thirteen billion, one hundred twenty million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 27 37 81 103 109 111 309 327 333 927 981 999 2781 2943 2997 3811 4033 8343 8829 11227 11433 12099 33681 34299 36297 101043 102897 108891 303129 308691 326673 415399 633427 909387 1246197 1900281 3738591 5700843 11215773 17102529 23436799 33647319 51307587 65242981 69043543 70310397 195728943 207130629 210931191 587186829 621391887 632793573 1761560487 1864175661 1898380719 2413990297 2554611091 5284681461 5592526983 7111484929 7241970891 7663833273 21334454787 21725912673 22991499819 64003364361 65177738019 68974499457 192010093083 195533214057 206923498371 263124942373 576030279249 789374827119 2368124481357 7104373444071 21313120332213