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330121223102331 = 3361966919731037
BaseRepresentation
bin100101100001111100101011…
…0001111000101111101111011
31121021212021120122021222211000
41023003321112033011331323
5321232201231103233311
63130035332443140043
7126351320440426563
oct11303712617057573
91537767518258730
10330121223102331
1196206696220571
1231037855814623
13112283b42510cb
145b73d4974dda3
152827325b8e056
hex12c3e563c5f7b

330121223102331 has 16 divisors (see below), whose sum is σ = 489069292698400. Its totient is φ = 220080449088864.

The previous prime is 330121223102269. The next prime is 330121223102357. The reversal of 330121223102331 is 133201322121033.

330121223102331 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 1 + 223 + 102 + 331 = 666.

It is not a de Polignac number, because 330121223102331 - 222 = 330121218908027 is a prime.

It is a super-2 number, since 2×3301212231023312 (a number of 30 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330121223102295 and 330121223102304.

It is not an unprimeable number, because it can be changed into a prime (330121223102431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6865545 + ... + 26596581.

It is an arithmetic number, because the mean of its divisors is an integer number (30566830793650).

Almost surely, 2330121223102331 is an apocalyptic number.

330121223102331 is a deficient number, since it is larger than the sum of its proper divisors (158948069596069).

330121223102331 is a wasteful number, since it uses less digits than its factorization.

330121223102331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20350715 (or 20350709 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 330121223102331 its reverse (133201322121033), we get a palindrome (463322545223364).

The spelling of 330121223102331 in words is "three hundred thirty trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 619669 1859007 5577021 16731063 19731037 59193111 177579333 532737999 12226711966753 36680135900259 110040407700777 330121223102331