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10341003200 = 265211837079
BaseRepresentation
bin10011010000101111…
…10010111111000000
3222200200102101120112
421220113302333000
5132134244100300
64430043330452
7514155035243
oct115027627700
928620371515
1010341003200
114427254840
122007220a28
13c8a543608
1470156b25a
15407cbae35
hex2685f2fc0

10341003200 has 168 divisors, whose sum is σ = 28096951680. Its totient is φ = 3714534400.

The previous prime is 10341003191. The next prime is 10341003203. The reversal of 10341003200 is 230014301.

10341003200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341003203) 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 23 ways as a sum of consecutive naturals, for example, 1457261 + ... + 1464339.

It is an arithmetic number, because the mean of its divisors is an integer number (167243760).

Almost surely, 210341003200 is an apocalyptic number.

10341003200 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 10341003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048475840).

10341003200 is an abundant number, since it is smaller than the sum of its proper divisors (17755948480).

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

10341003200 is a wasteful number, since it uses less digits than its factorization.

10341003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10341003200 its reverse (230014301), we get a palindrome (10571017501).

The spelling of 10341003200 in words is "ten billion, three hundred forty-one million, three thousand, two hundred".