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1012330101321 = 327114135629117
BaseRepresentation
bin11101011101100111001…
…00110111101001001001
310120210000000200110201100
432232303210313221021
5113041223001220241
62053020311212013
7133065324612210
oct16566344675111
93523000613640
101012330101321
11360365a50580
12144243377009
137460193a296
1436dd5c32077
151b4ede8e9b6
hexebb3937a49

1012330101321 has 48 divisors (see below), whose sum is σ = 1867535849088. Its totient is φ = 513059270400.

The previous prime is 1012330101301. The next prime is 1012330101323. The reversal of 1012330101321 is 1231010332101.

1012330101321 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 330 + 10 + 1 + 321 = 666.

It is not a de Polignac number, because 1012330101321 - 26 = 1012330101257 is a prime.

It is a super-2 number, since 2×10123301013212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012330101294 and 1012330101303.

It is not an unprimeable number, because it can be changed into a prime (1012330101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17786146 + ... + 17842971.

It is an arithmetic number, because the mean of its divisors is an integer number (38906996856).

Almost surely, 21012330101321 is an apocalyptic number.

1012330101321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012330101321 is a deficient number, since it is larger than the sum of its proper divisors (855205747767).

1012330101321 is a wasteful number, since it uses less digits than its factorization.

1012330101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35629182 (or 35629179 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1012330101321 its reverse (1231010332101), we get a palindrome (2243340433422).

The spelling of 1012330101321 in words is "one trillion, twelve billion, three hundred thirty million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 861 1353 2583 3157 4059 9471 28413 35629117 106887351 249403819 320662053 391920287 748211457 1175760861 1460793797 2244634371 2743442009 3527282583 4382381391 8230326027 10225556579 13147144173 16068731767 24690978081 30676669737 48206195301 92030009211 112481122369 144618585903 337443367107 1012330101321