Search a number
-
+
213323203021033 = 71947677913074933
BaseRepresentation
bin110000100000010000101101…
…101111010000100011101001
31000222022111110210122012200101
4300200100231233100203221
5210430041404433133113
62033411154312305401
762635043556410320
oct6040205557204351
91028274423565611
10213323203021033
1161a75953865486
121bb135710a2261
1392053a3c09431
143a96c806070b7
15199e05ce492dd
hexc2042dbd08e9

213323203021033 has 128 divisors (see below), whose sum is σ = 269629253222400. Its totient is φ = 164735185874688.

The previous prime is 213323203021021. The next prime is 213323203021051. The reversal of 213323203021033 is 330120302323312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213323203021033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213323203020992 and 213323203021010.

It is not an unprimeable number, because it can be changed into a prime (213323203021073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43244109235 + ... + 43244114167.

It is an arithmetic number, because the mean of its divisors is an integer number (2106478540800).

Almost surely, 2213323203021033 is an apocalyptic number.

It is an amenable number.

213323203021033 is a deficient number, since it is larger than the sum of its proper divisors (56306050201367).

213323203021033 is a wasteful number, since it uses less digits than its factorization.

213323203021033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 213323203021033 its reverse (330120302323312), we get a palindrome (543443505344345).

The spelling of 213323203021033 in words is "two hundred thirteen trillion, three hundred twenty-three billion, two hundred three million, twenty-one thousand, thirty-three".

Divisors: 1 7 19 47 67 79 133 329 469 553 893 1273 1307 1501 3149 3713 4933 5293 6251 8911 9149 10507 22043 24833 25991 34531 37051 59831 61429 70547 87569 93727 100567 103253 173831 231851 248771 330511 389707 418817 430003 493829 612983 656089 703969 722771 1167151 1622957 1663811 1741397 1961807 2313577 2727949 4115743 4405169 4726649 4852891 6279709 6447431 6917951 7404433 8170057 11646677 13732649 15534017 18316229 26110369 28810201 30836183 33086543 33970237 43957963 45132017 48425657 51831031 78199117 92204929 108738119 122501189 128213603 131441069 182772583 295146323 303029257 325143697 348008351 431977877 496097011 509347049 547393819 645434503 857508323 920087483 1227187343 2066024261 2121204799 2276005879 2436058457 3023845139 3472679077 3565429343 5757555883 6177730243 8207579663 8590311401 9677593931 20302960219 23316559517 23939311303 34126252283 40302891181 43244111701 57453057641 67743157517 142120721533 163215916619 167575179121 238883765981 385756244161 454846914757 648398793377 1603933857301 2700293709127 3183928403299 4538791553639 11227537001107 30474743288719 213323203021033