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13201030000 = 24547118593
BaseRepresentation
bin11000100101101011…
…11011101101110000
31021002000001210210001
430102311323231300
5204013430430000
610021531515344
7645063621634
oct142265735560
937060053701
1013201030000
115664701254
122684bb8b54
131324c29a72
148d3338dc4
15523e1146a
hex312d7bb70

13201030000 has 100 divisors (see below), whose sum is σ = 32412912048. Its totient is φ = 5205760000.

The previous prime is 13201029997. The next prime is 13201030027. The reversal of 13201030000 is 3010231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-4 number, since 4×132010300004 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 700704 + ... + 719296.

Almost surely, 213201030000 is an apocalyptic number.

13201030000 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 13201030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206456024).

13201030000 is an abundant number, since it is smaller than the sum of its proper divisors (19211882048).

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

13201030000 is an equidigital number, since it uses as much as digits as its factorization.

13201030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18692 (or 18671 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13201030000 its reverse (3010231), we get a palindrome (13204040231).

The spelling of 13201030000 in words is "thirteen billion, two hundred one million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 625 710 1000 1136 1250 1420 1775 2000 2500 2840 3550 5000 5680 7100 8875 10000 14200 17750 18593 28400 35500 37186 44375 71000 74372 88750 92965 142000 148744 177500 185930 297488 355000 371860 464825 710000 743720 929650 1320103 1487440 1859300 2324125 2640206 3718600 4648250 5280412 6600515 7437200 9296500 10560824 11620625 13201030 18593000 21121648 23241250 26402060 33002575 37186000 46482500 52804120 66005150 92965000 105608240 132010300 165012875 185930000 264020600 330025750 528041200 660051500 825064375 1320103000 1650128750 2640206000 3300257500 6600515000 13201030000