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330414341210131 = 1747617670234757
BaseRepresentation
bin100101100100000101001010…
…1011011111100000000010011
31121022220022011112201200012211
41023020022111123330000103
5321302002032322211011
63130422130341332551
7126411435252303463
oct11310122533740023
91538808145650184
10330414341210131
1196309a31802352
123108461a407157
1311249c2838a649
145b841d48bbba3
15282ec7e0b3b21
hex12c82956fc013

330414341210131 has 16 divisors (see below), whose sum is σ = 357873189503616. Its totient is φ = 303868352736256.

The previous prime is 330414341210099. The next prime is 330414341210167. The reversal of 330414341210131 is 131012143414033.

It is a cyclic number.

It is not a de Polignac number, because 330414341210131 - 25 = 330414341210099 is a prime.

It is a super-2 number, since 2×3304143412101312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330414341210093 and 330414341210102.

It is not an unprimeable number, because it can be changed into a prime (330414341210831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334624396 + ... + 335610361.

It is an arithmetic number, because the mean of its divisors is an integer number (22367074343976).

Almost surely, 2330414341210131 is an apocalyptic number.

330414341210131 is a deficient number, since it is larger than the sum of its proper divisors (27458848293485).

330414341210131 is a wasteful number, since it uses less digits than its factorization.

330414341210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670235438.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 330414341210131 its reverse (131012143414033), we get a palindrome (461426484624164).

The spelling of 330414341210131 in words is "three hundred thirty trillion, four hundred fourteen billion, three hundred forty-one million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 17 47 617 799 10489 28999 492983 670234757 11393990869 31501033579 413534845069 535517570843 7030092366173 19436137718243 330414341210131