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330431201120041 = 733372858623951
BaseRepresentation
bin100101100100001101000001…
…0010111011000111100101001
31121022221220200112121211122121
41023020122002113120330221
5321302241044441320131
63130433555335551241
7126412603125211000
oct11310320227307451
91538856615554577
10330431201120041
11963160a378819a
123108794482b521
131124b6b43416b8
145b84d53b31c37
152830419317911
hex12c86825d8f29

330431201120041 has 16 divisors (see below), whose sum is σ = 386485958310400. Its totient is φ = 282386308276800.

The previous prime is 330431201120023. The next prime is 330431201120077. The reversal of 330431201120041 is 140021102134033.

It is a de Polignac number, because none of the positive numbers 2k-330431201120041 is a prime.

It is a super-2 number, since 2×3304312011200412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330431201119988 and 330431201120015.

It is not an unprimeable number, because it can be changed into a prime (330431201120081) 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, 1429196385 + ... + 1429427566.

It is an arithmetic number, because the mean of its divisors is an integer number (24155372394400).

Almost surely, 2330431201120041 is an apocalyptic number.

It is an amenable number.

330431201120041 is a deficient number, since it is larger than the sum of its proper divisors (56054757190359).

330431201120041 is an equidigital number, since it uses as much as digits as its factorization.

330431201120041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858624309 (or 2858624295 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 330431201120041 its reverse (140021102134033), we get a palindrome (470452303254074).

The spelling of 330431201120041 in words is "three hundred thirty trillion, four hundred thirty-one billion, two hundred one million, one hundred twenty thousand, forty-one".

Divisors: 1 7 49 337 343 2359 16513 115591 2858623951 20010367657 140072573599 963356271487 980508015193 6743493900409 47204457302863 330431201120041