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13321312203000 = 2335322511972651
BaseRepresentation
bin1100000111011001110000…
…0101001111000011111000
31202011111122011002122101110
43001312130011033003320
53221224021410444000
644155420520120320
72543301351304464
oct301663405170370
952144564078343
1013321312203000
11427659a4a85aa
1215b19146060a0
1375826acb0119
14340a7d8294a4
151817b7db2850
hexc1d9c14f0f8

13321312203000 has 128 divisors (see below), whose sum is σ = 41580979165440. Its totient is φ = 3550770000000.

The previous prime is 13321312202903. The next prime is 13321312203007. The reversal of 13321312203000 is 30221312331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321312203007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5766675 + ... + 7739325.

It is an arithmetic number, because the mean of its divisors is an integer number (324851399730).

Almost surely, 213321312203000 is an apocalyptic number.

13321312203000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321312203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790489582720).

13321312203000 is an abundant number, since it is smaller than the sum of its proper divisors (28259666962440).

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

13321312203000 is a wasteful number, since it uses less digits than its factorization.

13321312203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974926 (or 1974912 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13321312203000 its reverse (30221312331), we get a palindrome (13351533515331).

The spelling of 13321312203000 in words is "thirteen trillion, three hundred twenty-one billion, three hundred twelve million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2251 3000 4502 6753 9004 11255 13506 18008 22510 27012 33765 45020 54024 56275 67530 90040 112550 135060 168825 225100 270120 281375 337650 450200 562750 675300 844125 1125500 1350600 1688250 1972651 2251000 3376500 3945302 5917953 6753000 7890604 9863255 11835906 15781208 19726510 23671812 29589765 39453020 47343624 49316275 59179530 78906040 98632550 118359060 147948825 197265100 236718120 246581375 295897650 394530200 493162750 591795300 739744125 986325500 1183590600 1479488250 1972651000 2958976500 4440437401 5917953000 8880874802 13321312203 17761749604 22202187005 26642624406 35523499208 44404374010 53285248812 66606561015 88808748020 106570497624 111010935025 133213122030 177617496040 222021870050 266426244060 333032805075 444043740100 532852488120 555054675125 666065610150 888087480200 1110109350250 1332131220300 1665164025375 2220218700500 2664262440600 3330328050750 4440437401000 6660656101500 13321312203000