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330103120000 = 27544126289
BaseRepresentation
bin1001100110110111010…
…11011110000010000000
31011120001110020222011111
410303123223132002000
520402022344320000
6411351451253104
732564156136523
oct4633353360200
91146043228144
10330103120000
11117aa5672975
1253b86a4a194
132518968a654
1411d97150bba
1588c03a6cba
hex4cdbade080

330103120000 has 80 divisors (see below), whose sum is σ = 821771284950. Its totient is φ = 132041216000.

The previous prime is 330103119989. The next prime is 330103120001. The reversal of 330103120000 is 21301033.

It can be written as a sum of positive squares in 5 ways, for example, as 728136256 + 329374983744 = 26984^2 + 573912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (330103120001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1983145 + ... + 2143144.

Almost surely, 2330103120000 is an apocalyptic number.

It is an amenable number.

330103120000 is an abundant number, since it is smaller than the sum of its proper divisors (491668164950).

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

330103120000 is an frugal number, since it uses more digits than its factorization.

330103120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126323 (or 4126296 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 330103120000 its reverse (21301033), we get a palindrome (330124421033).

The spelling of 330103120000 in words is "three hundred thirty billion, one hundred three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 4126289 8252578 16505156 20631445 33010312 41262890 66020624 82525780 103157225 132041248 165051560 206314450 264082496 330103120 412628900 515786125 528164992 660206240 825257800 1031572250 1320412480 1650515600 2063144500 2578930625 2640824960 3301031200 4126289000 5157861250 6602062400 8252578000 10315722500 13204124800 16505156000 20631445000 33010312000 41262890000 66020624000 82525780000 165051560000 330103120000