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330241134201000 = 233531110007307097
BaseRepresentation
bin100101100010110100100000…
…1011111101000100010101000
31121022021202002110011221121120
41023011221001133220202220
5321241132320323413000
63130210403242135240
7126363064110103461
oct11305510137504250
91538252073157546
10330241134201000
1196252529984810
1231056b3b7b1520
13112367b3bac629
145b79a82d53d68
15282a4e2e336a0
hex12c5a417e88a8

330241134201000 has 128 divisors (see below), whose sum is σ = 1124020733247360. Its totient is φ = 80058456768000.

The previous prime is 330241134200993. The next prime is 330241134201031. The reversal of 330241134201000 is 102431142033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5003620549 + ... + 5003686548.

It is an arithmetic number, because the mean of its divisors is an integer number (8781411978495).

Almost surely, 2330241134201000 is an apocalyptic number.

330241134201000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330241134201000 is an abundant number, since it is smaller than the sum of its proper divisors (793779599046360).

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

330241134201000 is a wasteful number, since it uses less digits than its factorization.

330241134201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007307132 (or 10007307118 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 330241134201000 its reverse (102431142033), we get a palindrome (330343565343033).

The spelling of 330241134201000 in words is "three hundred thirty trillion, two hundred forty-one billion, one hundred thirty-four million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 10007307097 20014614194 30021921291 40029228388 50036535485 60043842582 80058456776 100073070970 110080378067 120087685164 150109606455 200146141940 220160756134 240175370328 250182677425 300219212910 330241134201 400292283880 440321512268 500365354850 550401890335 600438425820 660482268402 750548032275 880643024536 1000730709700 1100803780670 1200876851640 1250913387125 1320964536804 1501096064550 1651205671005 2001461419400 2201607561340 2501826774250 2641929073608 2752009451675 3002192129100 3302411342010 3752740161375 4403215122680 5003653548500 5504018903350 6004384258200 6604822684020 7505480322750 8256028355025 10007307097000 11008037806700 13209645368040 13760047258375 15010960645500 16512056710050 22016075613400 27520094516750 30021921291000 33024113420100 41280141775125 55040189033500 66048226840200 82560283550250 110080378067000 165120567100500 330241134201000