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330100330012033 = 7224127953283937
BaseRepresentation
bin100101100001110010111100…
…0111010010001110110000001
31121021210021122120021000222211
41023003211320322101312001
5321231330433440341113
63130021555331502121
7126346650622203100
oct11303457072216601
91537707576230884
10330100330012033
11961a8844659599
12310337a4757941
131122643482bb99
145b72d269ca037
152826a0180db3d
hex12c3978e91d81

330100330012033 has 12 divisors (see below), whose sum is σ = 385587598640772. Its totient is φ = 281769102074880.

The previous prime is 330100330012031. The next prime is 330100330012087. The reversal of 330100330012033 is 330210033001033.

It can be written as a sum of positive squares in 2 ways, for example, as 297808466808384 + 32291863203649 = 17257128^2 + 5682593^2 .

It is not a de Polignac number, because 330100330012033 - 21 = 330100330012031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330100330011995 and 330100330012013.

It is not an unprimeable number, because it can be changed into a prime (330100330012031) 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 11 ways as a sum of consecutive naturals, for example, 13976630160 + ... + 13976653777.

It is an arithmetic number, because the mean of its divisors is an integer number (32132299886731).

Almost surely, 2330100330012033 is an apocalyptic number.

It is an amenable number.

330100330012033 is a deficient number, since it is larger than the sum of its proper divisors (55487268628739).

330100330012033 is a wasteful number, since it uses less digits than its factorization.

330100330012033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27953284192 (or 27953284185 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 330100330012033 its reverse (330210033001033), we get a palindrome (660310363013066).

The spelling of 330100330012033 in words is "three hundred thirty trillion, one hundred billion, three hundred thirty million, twelve thousand, thirty-three".

Divisors: 1 7 49 241 1687 11809 27953283937 195672987559 1369710912913 6736741428817 47157190001719 330100330012033