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103823000000 = 2656473
BaseRepresentation
bin110000010110001010…
…1010100000111000000
3100220222121021212100022
41200230111110013000
53200112142000000
6115410131113012
710333554640046
oct1405425240700
9326877255308
10103823000000
1140038416635
1218156142768
139a3786a915
14504ca9c396
152a79b9a585
hex182c5541c0

103823000000 has 196 divisors, whose sum is σ = 263124756960. Its totient is φ = 40645600000.

The previous prime is 103822999997. The next prime is 103823000011. The reversal of 103823000000 is 328301.

The cubic root of 103823000000 is 4700.

It is a perfect power (a cube), and thus also a powerful number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 2208999977 + ... + 2209000023.

Almost surely, 2103823000000 is an apocalyptic number.

103823000000 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 103823000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131562378480).

103823000000 is an abundant number, since it is smaller than the sum of its proper divisors (159301756960).

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

103823000000 is an frugal number, since it uses more digits than its factorization.

103823000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103823000000 its reverse (328301), we get a palindrome (103823328301).

The spelling of 103823000000 in words is "one hundred three billion, eight hundred twenty-three million", and thus it is an aban number.