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10104343000 = 2353101100043
BaseRepresentation
bin10010110100100010…
…00000100111011000
3222002012002210210221
421122101000213120
5131143202434000
64350351045424
7505252332643
oct113221004730
928065083727
1010104343000
1143157024a4
121b5bb10874
13c504c19ab
146bbd64a5a
153e211e61a
hex25a4409d8

10104343000 has 64 divisors (see below), whose sum is σ = 23878501920. Its totient is φ = 4001680000.

The previous prime is 10104342979. The next prime is 10104343001. The reversal of 10104343000 is 34340101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104343001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50979 + ... + 151021.

Almost surely, 210104343000 is an apocalyptic number.

10104343000 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 10104343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939250960).

10104343000 is an abundant number, since it is smaller than the sum of its proper divisors (13774158920).

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

10104343000 is a wasteful number, since it uses less digits than its factorization.

10104343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100165 (or 100151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10104343000 its reverse (34340101), we get a palindrome (10138683101).

The spelling of 10104343000 in words is "ten billion, one hundred four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 100043 101000 200086 400172 500215 800344 1000430 2000860 2501075 4001720 5002150 10004300 10104343 12505375 20008600 20208686 25010750 40417372 50021500 50521715 80834744 100043000 101043430 202086860 252608575 404173720 505217150 1010434300 1263042875 2020868600 2526085750 5052171500 10104343000