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330120103030113 = 311234311009143497
BaseRepresentation
bin100101100001111100001001…
…1011110010110110101100001
31121021212011200120200102120210
41023003320103132112311201
5321232141432333430423
63130035025352124333
7126351250620114114
oct11303702336266541
91537764616612523
10330120103030113
1196206170a46750
12310375a26966a9
1311228266193196
145b73c80aa857b
1528272ac690b93
hex12c3e13796d61

330120103030113 has 32 divisors (see below), whose sum is σ = 502214389788672. Its totient is φ = 190929949443200.

The previous prime is 330120103030093. The next prime is 330120103030129. The reversal of 330120103030113 is 311030301021033.

It is not a de Polignac number, because 330120103030113 - 224 = 330120086252897 is a prime.

It is a super-2 number, since 2×3301201030301132 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330120103030113.

It is not an unprimeable number, because it can be changed into a prime (330120103030163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504244620 + ... + 504898877.

It is an arithmetic number, because the mean of its divisors is an integer number (15694199680896).

Almost surely, 2330120103030113 is an apocalyptic number.

330120103030113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330120103030113 is a deficient number, since it is larger than the sum of its proper divisors (172094286758559).

330120103030113 is a wasteful number, since it uses less digits than its factorization.

330120103030113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009143965.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 330120103030113 its reverse (311030301021033), we get a palindrome (641150404051146).

The spelling of 330120103030113 in words is "three hundred thirty trillion, one hundred twenty billion, one hundred three million, thirty thousand, one hundred thirteen".

Divisors: 1 3 11 23 33 69 253 431 759 1293 4741 9913 14223 29739 109043 327129 1009143497 3027430491 11100578467 23210300431 33301735401 69630901293 255313304741 434940847207 765939914223 1304822541621 4784349319277 10003639485761 14353047957831 30010918457283 110040034343371 330120103030113