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12022302122313 = 3721719324926659
BaseRepresentation
bin1010111011110010100100…
…0011000010000101001001
31120120022122220110022011120
42232330221003002011021
53033433133320403223
641322545213545453
72350403565640200
oct256745103020511
946508586408146
1012022302122313
1139156a214444a
1214220047a5289
13692910003672
142d7c4d926237
1515cadad2bbe3
hexaef290c2149

12022302122313 has 48 divisors (see below), whose sum is σ = 19846008452160. Its totient is φ = 6432274243584.

The previous prime is 12022302122297. The next prime is 12022302122329. The reversal of 12022302122313 is 31322120322021.

It is an interprime number because it is at equal distance from previous prime (12022302122297) and next prime (12022302122329).

It is not a de Polignac number, because 12022302122313 - 24 = 12022302122297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12022302122333) 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 47 ways as a sum of consecutive naturals, for example, 11981023 + ... + 12945636.

It is an arithmetic number, because the mean of its divisors is an integer number (413458509420).

Almost surely, 212022302122313 is an apocalyptic number.

It is an amenable number.

12022302122313 is a deficient number, since it is larger than the sum of its proper divisors (7823706329847).

12022302122313 is a wasteful number, since it uses less digits than its factorization.

12022302122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24926886 (or 24926879 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12022302122313 its reverse (31322120322021), we get a palindrome (43344422444334).

The spelling of 12022302122313 in words is "twelve trillion, twenty-two billion, three hundred two million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 7 17 21 49 51 119 147 193 357 579 833 1351 2499 3281 4053 9457 9843 22967 28371 68901 160769 482307 24926659 74779977 174486613 423753203 523459839 1221406291 1271259609 2966272421 3664218873 4810845187 8898817263 14432535561 20763906947 33675916309 62291720841 81784368179 101027748927 235731414163 245353104537 572490577253 707194242489 1717471731759 4007434040771 12022302122313