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10810130000 = 24541763589
BaseRepresentation
bin10100001000101010…
…10111111001010000
31000220101011111120012
422010111113321100
5134114343130000
64544402334052
7531612405665
oct120425277120
930811144505
1010810130000
11464804473a
12211835a328
1310337a9137
147479a7a6c
15434086735
hex284557e50

10810130000 has 100 divisors (see below), whose sum is σ = 27712394820. Its totient is φ = 4069632000.

The previous prime is 10810129991. The next prime is 10810130041. The reversal of 10810130000 is 3101801.

It can be written as a sum of positive squares in 10 ways, for example, as 4063807504 + 6746322496 = 63748^2 + 82136^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138206 + ... + 201794.

Almost surely, 210810130000 is an apocalyptic number.

10810130000 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 10810130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856197410).

10810130000 is an abundant number, since it is smaller than the sum of its proper divisors (16902264820).

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

10810130000 is an equidigital number, since it uses as much as digits as its factorization.

10810130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63634 (or 63613 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10810130000 its reverse (3101801), we get a palindrome (10813231801).

The spelling of 10810130000 in words is "ten billion, eight hundred ten million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 63589 85000 127178 170000 254356 317945 508712 635890 1017424 1081013 1271780 1589725 2162026 2543560 3179450 4324052 5087120 5405065 6358900 7948625 8648104 10810130 12717800 15897250 17296208 21620260 25435600 27025325 31794500 39743125 43240520 54050650 63589000 79486250 86481040 108101300 127178000 135126625 158972500 216202600 270253250 317945000 432405200 540506500 635890000 675633125 1081013000 1351266250 2162026000 2702532500 5405065000 10810130000