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330012103000 = 235310316191979
BaseRepresentation
bin1001100110101100100…
…00010001000101011000
31011112211002222211022111
410303112100101011120
520401331044244000
6411334440402104
732562002410036
oct4632620210530
91145732884274
10330012103000
11117a59257508
1253b60476334
1325173870838
1411d8901b556
1588b73c8cba
hex4cd6411158

330012103000 has 128 divisors (see below), whose sum is σ = 780601536000. Its totient is φ = 130576483200.

The previous prime is 330012102997. The next prime is 330012103049. The reversal of 330012103000 is 301210033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166756011 + ... + 166757989.

It is an arithmetic number, because the mean of its divisors is an integer number (6098449500).

Almost surely, 2330012103000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330012103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390300768000).

330012103000 is an abundant number, since it is smaller than the sum of its proper divisors (450589433000).

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

330012103000 is a wasteful number, since it uses less digits than its factorization.

330012103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3708 counting only the distinct ones).

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

Adding to 330012103000 its reverse (301210033), we get a palindrome (330313313033).

The spelling of 330012103000 in words is "three hundred thirty billion, twelve million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 1619 1979 2060 2575 3238 3958 4120 5150 6476 7916 8095 9895 10300 12875 12952 15832 16190 19790 20600 25750 32380 39580 40475 49475 51500 64760 79160 80950 98950 103000 161900 166757 197900 202375 203837 247375 323800 333514 395800 404750 407674 494750 667028 809500 815348 833785 989500 1019185 1334056 1619000 1630696 1667570 1979000 2038370 3204001 3335140 4076740 4168925 5095925 6408002 6670280 8153480 8337850 10191850 12816004 16020005 16675700 20383700 20844625 25479625 25632008 32040010 33351400 40767400 41689250 50959250 64080020 80100025 83378500 101918500 128160040 160200050 166757000 203837000 320400100 330012103 400500125 640800200 660024206 801000250 1320048412 1602000500 1650060515 2640096824 3204001000 3300121030 6600242060 8250302575 13200484120 16500605150 33001210300 41251512875 66002420600 82503025750 165006051500 330012103000