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213141343023 = 327213915123027
BaseRepresentation
bin1100011010000000110…
…1101100101100101111
3202101011012001002010200
43012200031230230233
511443003140434043
6241525450404543
721253561344300
oct3064015545457
9671135032120
10213141343023
1182435805774
1235384730753
1317139a7b5ab
14a45d5207a7
155826ee57d3
hex31a036cb2f

213141343023 has 72 divisors (see below), whose sum is σ = 363116557440. Its totient is φ = 120112826400.

The previous prime is 213141342943. The next prime is 213141343031. The reversal of 213141343023 is 320343141312.

It is a happy number.

213141343023 is a `hidden beast` number, since 2 + 1 + 314 + 1 + 343 + 0 + 2 + 3 = 666.

213141343023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213141343023 - 29 = 213141342511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141343073) 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 71 ways as a sum of consecutive naturals, for example, 9244636 + ... + 9267662.

It is an arithmetic number, because the mean of its divisors is an integer number (5043285520).

Almost surely, 2213141343023 is an apocalyptic number.

213141343023 is a deficient number, since it is larger than the sum of its proper divisors (149975214417).

213141343023 is a wasteful number, since it uses less digits than its factorization.

213141343023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23337 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213141343023 its reverse (320343141312), we get a palindrome (533484484335).

The spelling of 213141343023 in words is "two hundred thirteen billion, one hundred forty-one million, three hundred forty-three thousand, twenty-three".

Divisors: 1 3 7 9 21 49 63 139 147 151 417 441 453 973 1057 1251 1359 2919 3171 6811 7399 8757 9513 20433 20989 22197 23027 61299 62967 66591 69081 146923 161189 188901 207243 440769 483567 1028461 1128323 1322307 1450701 3085383 3200753 3384969 3477077 9256149 9602259 10154907 10431231 22405271 24339539 28806777 31293693 67215813 73018617 156836897 170376773 201647439 219055851 470510691 483313703 511130319 1411532073 1449941109 1533390957 3383195921 4349823327 10149587763 23682371447 30448763289 71047114341 213141343023