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330100001312 = 25175771051649
BaseRepresentation
bin1001100110110110111…
…11100100101000100000
31011120001020101112010112
410303123133210220200
520402021100020222
6411351300350452
732564120500244
oct4633337445040
91146036345115
10330100001312
11117aa3932844
1253b859a5428
1325188b37c83
1411d9697c424
1588bee8cbe2
hex4cdb7e4a20

330100001312 has 48 divisors (see below), whose sum is σ = 689306095800. Its totient is φ = 155071807488.

The previous prime is 330100001281. The next prime is 330100001321. The reversal of 330100001312 is 213100001033.

It can be written as a sum of positive squares in 4 ways, for example, as 263041791376 + 67058209936 = 512876^2 + 258956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211937 + ... + 839712.

Almost surely, 2330100001312 is an apocalyptic number.

330100001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330100001312 is an abundant number, since it is smaller than the sum of its proper divisors (359206094488).

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

330100001312 is a wasteful number, since it uses less digits than its factorization.

330100001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052253 (or 1052245 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 330100001312 its reverse (213100001033), we get a palindrome (543200002345).

The spelling of 330100001312 in words is "three hundred thirty billion, one hundred million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 577 1154 2308 4616 9232 9809 18464 19618 39236 78472 156944 313888 1051649 2103298 4206596 8413192 16826384 17878033 33652768 35756066 71512132 143024264 286048528 572097056 606801473 1213602946 2427205892 4854411784 9708823568 10315625041 19417647136 20631250082 41262500164 82525000328 165050000656 330100001312