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3324131042121 = 34294134515269
BaseRepresentation
bin110000010111110101101…
…001100110001101001001
3102202210011102000020220000
4300113311221212031021
5413430310021321441
611023030144353213
7462106031441061
oct60276551461511
912683142006800
103324131042121
11107183534a09a
124582a4915809
131b1605b49a56
14b6c62c263a1
155b70567b2b6
hex305f5a66349

3324131042121 has 40 divisors (see below), whose sum is σ = 5262198064200. Its totient is φ = 2087483408640.

The previous prime is 3324131042119. The next prime is 3324131042131. The reversal of 3324131042121 is 1212401314233.

3324131042121 is a `hidden beast` number, since 3 + 32 + 413 + 1 + 0 + 4 + 212 + 1 = 666.

3324131042121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 254206547721 + 3069924494400 = 504189^2 + 1752120^2 .

It is not a de Polignac number, because 3324131042121 - 21 = 3324131042119 is a prime.

It is a super-2 number, since 2×33241310421212 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3324131042101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17161326 + ... + 17353943.

It is an arithmetic number, because the mean of its divisors is an integer number (131554951605).

Almost surely, 23324131042121 is an apocalyptic number.

It is an amenable number.

3324131042121 is a deficient number, since it is larger than the sum of its proper divisors (1938067022079).

3324131042121 is a wasteful number, since it uses less digits than its factorization.

3324131042121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34515351 (or 34515342 counting only the distinct ones).

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

Adding to 3324131042121 its reverse (1212401314233), we get a palindrome (4536532356354).

The spelling of 3324131042121 in words is "three trillion, three hundred twenty-four billion, one hundred thirty-one million, forty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 41 81 87 123 261 369 783 1107 1189 2349 3321 3567 10701 32103 96309 34515269 103545807 310637421 931912263 1000942801 1415126029 2795736789 3002828403 4245378087 9008485209 12736134261 27025455627 38208402783 41038654841 81076366881 114625208349 123115964523 369347893569 1108043680707 3324131042121