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10030003104 = 25311291931697
BaseRepresentation
bin10010101011101010…
…11011001110100000
3221220000012221122110
421111311123032200
5131020140044404
64335133435320
7503360422362
oct112565331640
927800187573
1010030003104
114287747870
121b3b03bb40
13c3ac939a4
146b2132d32
153da837b89
hex255d5b3a0

10030003104 has 192 divisors, whose sum is σ = 29884256640. Its totient is φ = 2917662720.

The previous prime is 10030003103. The next prime is 10030003153. The reversal of 10030003104 is 40130003001.

10030003104 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 (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10030003104.

It is not an unprimeable number, because it can be changed into a prime (10030003103) 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 31 ways as a sum of consecutive naturals, for example, 5909584 + ... + 5911280.

It is an arithmetic number, because the mean of its divisors is an integer number (155647170).

Almost surely, 210030003104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942128320).

10030003104 is an abundant number, since it is smaller than the sum of its proper divisors (19854253536).

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

10030003104 is a wasteful number, since it uses less digits than its factorization.

10030003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10030003104 its reverse (40130003001), we get a palindrome (50160006105).

The spelling of 10030003104 in words is "ten billion, thirty million, three thousand, one hundred four".