Search a number
-
+
20332414110312 = 2334220631422163
BaseRepresentation
bin1001001111110000000100…
…10100100000101001101000
32122222202111220020221120000
410213320002110200221220
510131111241003012222
6111124325422103000
74165653114235503
oct447700224405150
978882456227500
1020332414110312
116529a23778157
12234468441aa60
13b46452693a75
1450414629c13a
15253d5d0809ac
hex127e02520a68

20332414110312 has 80 divisors (see below), whose sum is σ = 56952207090240. Its totient is φ = 6777159417504.

The previous prime is 20332414110311. The next prime is 20332414110319. The reversal of 20332414110312 is 21301141423302.

20332414110312 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 241 + 411 + 0 + 3 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20332414110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13585743 + ... + 15007905.

It is an arithmetic number, because the mean of its divisors is an integer number (711902588628).

Almost surely, 220332414110312 is an apocalyptic number.

It is an amenable number.

20332414110312 is an abundant number, since it is smaller than the sum of its proper divisors (36619792979928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20332414110312 is a wasteful number, since it uses less digits than its factorization.

20332414110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444244 (or 1444231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20332414110312 its reverse (21301141423302), we get a palindrome (41633555533614).

The spelling of 20332414110312 in words is "twenty trillion, three hundred thirty-two billion, four hundred fourteen million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 22063 44126 66189 88252 132378 176504 198567 264756 397134 529512 595701 794268 1191402 1422163 1588536 1787103 2382804 2844326 3574206 4266489 4765608 5688652 7148412 8532978 11377304 12799467 14296824 17065956 25598934 34131912 38398401 51197868 76796802 102395736 115195203 153593604 230390406 307187208 460780812 921561624 31377182269 62754364538 94131546807 125508729076 188263093614 251017458152 282394640421 376526187228 564789280842 753052374456 847183921263 1129578561684 1694367842526 2259157123368 2541551763789 3388735685052 5083103527578 6777471370104 10166207055156 20332414110312