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330322130220031 = 2343440217587199
BaseRepresentation
bin100101100011011010001110…
…1001110111011001111111111
31121022120111011012111000212021
41023012310131032323033333
5321243444210314020111
63130311520340021011
7126401662214645605
oct11306643516731777
91538514135430767
10330322130220031
1196283913035714
123106a785091767
1311241321489601
145b7d9680c1875
15282c683a98d71
hex12c6d1d3bb3ff

330322130220031 has 16 divisors (see below), whose sum is σ = 352707926630400. Its totient is φ = 308605333307040.

The previous prime is 330322130220029. The next prime is 330322130220037. The reversal of 330322130220031 is 130022031223033.

It is a cyclic number.

It is not a de Polignac number, because 330322130220031 - 21 = 330322130220029 is a prime.

It is a super-3 number, since 3×3303221302200313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 330322130219978 and 330322130220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330322130220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39743170 + ... + 47330368.

It is an arithmetic number, because the mean of its divisors is an integer number (22044245414400).

Almost surely, 2330322130220031 is an apocalyptic number.

330322130220031 is a deficient number, since it is larger than the sum of its proper divisors (22385796410369).

330322130220031 is a wasteful number, since it uses less digits than its factorization.

330322130220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631286.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 330322130220031 its reverse (130022031223033), we get a palindrome (460344161443064).

The spelling of 330322130220031 in words is "three hundred thirty trillion, three hundred twenty-two billion, one hundred thirty million, two hundred twenty thousand, thirty-one".

Divisors: 1 23 43 989 44021 1012483 1892903 7587199 43536769 174505577 326249557 7503739811 333996087179 7681910005117 14361831748697 330322130220031