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330313213012120 = 235131813509490151
BaseRepresentation
bin100101100011010110000100…
…1101110011110100010011000
31121022112122010202011221020121
41023012230021232132202120
5321243322430012341440
63130303443433203024
7126401225225640112
oct11306541156364230
91538478122157217
10330313213012120
11962800575523a8
1231068ab6860474
131124052cc06520
145b7d35da9c3b2
15282c310cc334a
hex12c6b09b9e898

330313213012120 has 64 divisors (see below), whose sum is σ = 804796281656640. Its totient is φ = 121287979584000.

The previous prime is 330313213012091. The next prime is 330313213012169. The reversal of 330313213012120 is 21210312313033.

It is a super-2 number, since 2×3303132130121202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1754650956 + ... + 1754839195.

It is an arithmetic number, because the mean of its divisors is an integer number (12574941900885).

Almost surely, 2330313213012120 is an apocalyptic number.

It is an amenable number.

330313213012120 is an abundant number, since it is smaller than the sum of its proper divisors (474483068644520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330313213012120 is a wasteful number, since it uses less digits than its factorization.

330313213012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509490356 (or 3509490352 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 330313213012120 its reverse (21210312313033), we get a palindrome (351523525325153).

The spelling of 330313213012120 in words is "three hundred thirty trillion, three hundred thirteen billion, two hundred thirteen million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 362 520 724 905 1448 1810 2353 3620 4706 7240 9412 11765 18824 23530 47060 94120 3509490151 7018980302 14037960604 17547450755 28075921208 35094901510 45623371963 70189803020 91246743926 140379606040 182493487852 228116859815 364986975704 456233719630 635217717331 912467439260 1270435434662 1824934878520 2540870869324 3176088586655 5081741738648 6352177173310 8257830325303 12704354346620 16515660650606 25408708693240 33031321301212 41289151626515 66062642602424 82578303253030 165156606506060 330313213012120