Search a number
-
+
12022010003313 = 32475310113274001
BaseRepresentation
bin1010111011110001011110…
…1000101011111101110001
31120120021220112210010020100
42232330113220223331301
53033432034030101223
641322500220503013
72350363420653252
oct256742750537561
946507815703210
1012022010003313
113915562263092
121421b429aaa69
13692894634a9b
142d7c22c04b29
1515cac0378043
hexaef17a2bf71

12022010003313 has 96 divisors (see below), whose sum is σ = 18266430154752. Its totient is φ = 7612300800000.

The previous prime is 12022010003299. The next prime is 12022010003317. The reversal of 12022010003313 is 31330001022021.

12022010003313 is a `hidden beast` number, since 12 + 0 + 220 + 100 + 0 + 331 + 3 = 666.

It is not a de Polignac number, because 12022010003313 - 29 = 12022010002801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12022010003317) 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, 3004749313 + ... + 3004753313.

It is an arithmetic number, because the mean of its divisors is an integer number (190275314112).

Almost surely, 212022010003313 is an apocalyptic number.

It is an amenable number.

12022010003313 is a deficient number, since it is larger than the sum of its proper divisors (6244420151439).

12022010003313 is a wasteful number, since it uses less digits than its factorization.

12022010003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12022010003313 its reverse (31330001022021), we get a palindrome (43352011025334).

The spelling of 12022010003313 in words is "twelve trillion, twenty-two billion, ten million, three thousand, three hundred thirteen".

Divisors: 1 3 9 47 53 101 141 159 303 423 477 909 1327 2491 3981 4001 4747 5353 7473 11943 12003 14241 16059 22419 36009 42723 48177 62369 70331 134027 187107 188047 210993 212053 251591 402081 404101 561321 564141 632979 636159 754773 1206243 1212303 1692423 1908477 2264319 3305557 3636909 5309327 6299269 7103431 9916671 9966491 15927981 18897807 18992747 21310293 21417353 29750013 29899473 47783943 56693421 56978241 63930879 64252059 89698419 170934723 192756177 249538369 281394331 333861257 536242027 748615107 844182993 1001583771 1006615591 1608726081 2245845321 2532548979 3004751313 3019846773 4826178243 9059540319 13225533557 25203375269 28420827431 39676600671 75610125807 85262482293 119029802013 226830377421 255787446879 1335778889257 4007336667771 12022010003313