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2105103000 = 2335371113701
BaseRepresentation
bin111110101111001…
…0101001010011000
312102201010022102210
41331132111022120
513302401244000
6544515355120
7103111036350
oct17536251230
95381108383
102105103000
11990304050
124a8bb2aa0
132771867a0
1415d817b60
15c4c24350
hex7d795298

2105103000 has 512 divisors, whose sum is σ = 8831047680. Its totient is φ = 403200000.

The previous prime is 2105102999. The next prime is 2105103001. The reversal of 2105103000 is 3015012.

It is an interprime number because it is at equal distance from previous prime (2105102999) and next prime (2105103001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105103001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3002650 + ... + 3003350.

It is an arithmetic number, because the mean of its divisors is an integer number (17248140).

Almost surely, 22105103000 is an apocalyptic number.

2105103000 is a gapful number since it is divisible by the number (20) 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 2105103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415523840).

2105103000 is an abundant number, since it is smaller than the sum of its proper divisors (6725944680).

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

2105103000 is a wasteful number, since it uses less digits than its factorization.

2105103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 2105103000 is about 45881.4014607226. The cubic root of 2105103000 is about 1281.6155950556.

Adding to 2105103000 its reverse (3015012), we get a palindrome (2108118012).

The spelling of 2105103000 in words is "two billion, one hundred five million, one hundred three thousand".