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1030004100 = 22365271199
BaseRepresentation
bin111101011001001…
…001110110000100
32122210010122000000
4331121021312010
54102140112400
6250112321300
734344614256
oct7531116604
92583118000
101030004100
11489457364
12248b43230
13135513ca8
149ab1bcd6
156065b600
hex3d649d84

1030004100 has 252 divisors, whose sum is σ = 3415406400. Its totient is φ = 269438400.

The previous prime is 1030004089. The next prime is 1030004119. The reversal of 1030004100 is 14000301.

1030004100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5175801 + ... + 5175999.

It is an arithmetic number, because the mean of its divisors is an integer number (13553200).

Almost surely, 21030004100 is an apocalyptic number.

1030004100 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 1030004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707703200).

1030004100 is an abundant number, since it is smaller than the sum of its proper divisors (2385402300).

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

1030004100 is a wasteful number, since it uses less digits than its factorization.

1030004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1030004100 is about 32093.6769473365. The cubic root of 1030004100 is about 1009.9029740471.

Adding to 1030004100 its reverse (14000301), we get a palindrome (1044004401).

The spelling of 1030004100 in words is "one billion, thirty million, four thousand, one hundred".