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330031101031123 = 2361235232431241
BaseRepresentation
bin100101100001010010101101…
…0100010101011001011010011
31121021112122221212201102110211
41023002211122202223023103
5321224212143330443443
63125530110022304551
7126341650226444362
oct11302453242531323
91537478855642424
10330031101031123
1196181449703588
12310222a3b88157
131121ca5105b25b
145b6d83a5577d9
152824cedc4d19d
hex12c295a8ab2d3

330031101031123 has 8 divisors (see below), whose sum is σ = 350025857688096. Its totient is φ = 310506809236800.

The previous prime is 330031101031111. The next prime is 330031101031139. The reversal of 330031101031123 is 321130101130033.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330031101031123 is a prime.

It is a super-2 number, since 2×3300311010311232 (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 = 330031101031094 and 330031101031103.

It is not an unprimeable number, because it can be changed into a prime (330031101037123) 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 7 ways as a sum of consecutive naturals, for example, 117616214218 + ... + 117616217023.

It is an arithmetic number, because the mean of its divisors is an integer number (43753232211012).

Almost surely, 2330031101031123 is an apocalyptic number.

330031101031123 is a deficient number, since it is larger than the sum of its proper divisors (19994756656973).

330031101031123 is a wasteful number, since it uses less digits than its factorization.

330031101031123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235232431325.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 330031101031123 its reverse (321130101130033), we get a palindrome (651161202161156).

The spelling of 330031101031123 in words is "three hundred thirty trillion, thirty-one billion, one hundred one million, thirty-one thousand, one hundred twenty-three".

Divisors: 1 23 61 1403 235232431241 5410345918543 14349178305701 330031101031123