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13202432300000 = 2555442129863
BaseRepresentation
bin1100000000011110111001…
…0010011001001111100000
31201202010210012120212010002
43000013232102121033200
53212302040132100000
644025040315155132
72531562402640136
oct300075622311740
951663705525102
1013202432300000
114230135934989
121592877a45aa8
13749ca3b92058
14339003173756
1517d65b4128d5
hexc01ee4993e0

13202432300000 has 144 divisors (see below), whose sum is σ = 32496718139424. Its totient is φ = 5279601600000.

The previous prime is 13202432299949. The next prime is 13202432300011. The reversal of 13202432300000 is 323420231.

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

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 23 ways as a sum of consecutive naturals, for example, 442085069 + ... + 442114931.

It is an arithmetic number, because the mean of its divisors is an integer number (225671653746).

Almost surely, 213202432300000 is an apocalyptic number.

13202432300000 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 13202432300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248359069712).

13202432300000 is an abundant number, since it is smaller than the sum of its proper divisors (19294285839424).

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

13202432300000 is an frugal number, since it uses more digits than its factorization.

13202432300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34319 (or 34291 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13202432300000 its reverse (323420231), we get a palindrome (13202755720231).

The spelling of 13202432300000 in words is "thirteen trillion, two hundred two billion, four hundred thirty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 4421 5000 6250 8842 10000 12500 17684 20000 22105 25000 29863 35368 44210 50000 59726 70736 88420 100000 110525 119452 141472 149315 176840 221050 238904 298630 353680 442100 477808 552625 597260 707360 746575 884200 955616 1105250 1194520 1493150 1768400 2210500 2389040 2763125 2986300 3536800 3732875 4421000 4778080 5526250 5972600 7465750 8842000 11052500 11945200 13815625 14931500 17684000 18664375 22105000 23890400 27631250 29863000 37328750 44210000 55262500 59726000 74657500 88420000 93321875 110525000 119452000 132024323 149315000 186643750 221050000 264048646 298630000 373287500 442100000 528097292 597260000 660121615 746575000 1056194584 1320243230 1493150000 2112389168 2640486460 2986300000 3300608075 4224778336 5280972920 6601216150 10561945840 13202432300 16503040375 21123891680 26404864600 33006080750 52809729200 66012161500 82515201875 105619458400 132024323000 165030403750 264048646000 330060807500 412576009375 528097292000 660121615000 825152018750 1320243230000 1650304037500 2640486460000 3300608075000 6601216150000 13202432300000