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330121242231021 = 3416120125282541
BaseRepresentation
bin100101100001111100101011…
…1011000000100000011101101
31121021212021121222021211110000
41023003321113120010003231
5321232201301002343041
63130035334405134513
7126351321062136423
oct11303712730040355
91537767558254400
10330121242231021
11962066a5aa61aa
12310378600ba439
13112283b81baa67
145b73d4c0cd113
1528273276bbbb6
hex12c3e576040ed

330121242231021 has 20 divisors (see below), whose sum is σ = 493147156593564. Its totient is φ = 220079454192000.

The previous prime is 330121242230987. The next prime is 330121242231073. The reversal of 330121242231021 is 120132242121033.

330121242231021 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 212 + 422 + 3 + 1 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232894641504996 + 97226600726025 = 15260886^2 + 9860355^2 .

It is not a de Polignac number, because 330121242231021 - 27 = 330121242230893 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121242231421) 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 19 ways as a sum of consecutive naturals, for example, 416011 + ... + 25698551.

Almost surely, 2330121242231021 is an apocalyptic number.

It is an amenable number.

330121242231021 is a deficient number, since it is larger than the sum of its proper divisors (163025914362543).

330121242231021 is a wasteful number, since it uses less digits than its factorization.

330121242231021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25443754 (or 25443745 counting only the distinct ones).

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

Adding to 330121242231021 its reverse (120132242121033), we get a palindrome (450253484352054).

The spelling of 330121242231021 in words is "three hundred thirty trillion, one hundred twenty-one billion, two hundred forty-two million, two hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 27 81 161201 483603 1450809 4352427 13057281 25282541 75847623 227542869 682628607 2047885821 4075570891741 12226712675223 36680138025669 110040414077007 330121242231021