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13104042320000 = 2754163800529
BaseRepresentation
bin1011111010110000010111…
…0010011010000010000000
31201101201211020111000002202
42332230011302122002000
53204144034313220000
643511525224332332
72521510245623402
oct276540562320200
951351736430082
1013104042320000
1141a24362a4725
1215777993140a8
13740923ab6088
1433434bc94b72
1517aced705dd5
hexbeb05c9a080

13104042320000 has 80 divisors (see below), whose sum is σ = 32621694552150. Its totient is φ = 5241616896000.

The previous prime is 13104042319997. The next prime is 13104042320003. The reversal of 13104042320000 is 2324040131.

It is an interprime number because it is at equal distance from previous prime (13104042319997) and next prime (13104042320003).

It can be written as a sum of positive squares in 5 ways, for example, as 221283686464 + 12882758633536 = 470408^2 + 3589256^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13104042320003) 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, 81820265 + ... + 81980264.

Almost surely, 213104042320000 is an apocalyptic number.

13104042320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104042320000 is an abundant number, since it is smaller than the sum of its proper divisors (19517652232150).

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

13104042320000 is an frugal number, since it uses more digits than its factorization.

13104042320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163800563 (or 163800536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13104042320000 its reverse (2324040131), we get a palindrome (13106366360131).

The spelling of 13104042320000 in words is "thirteen trillion, one hundred four billion, forty-two million, three 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 163800529 327601058 655202116 819002645 1310404232 1638005290 2620808464 3276010580 4095013225 5241616928 6552021160 8190026450 10483233856 13104042320 16380052900 20475066125 20966467712 26208084640 32760105800 40950132250 52416169280 65520211600 81900264500 102375330625 104832338560 131040423200 163800529000 204750661250 262080846400 327601058000 409501322500 524161692800 655202116000 819002645000 1310404232000 1638005290000 2620808464000 3276010580000 6552021160000 13104042320000