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10323341200 = 245225808353
BaseRepresentation
bin10011001110101000…
…11010111110010000
3222122110012001212101
421213110122332100
5132120233404300
64424213010144
7513551644444
oct114724327620
928573161771
1010323341200
114418291047
122001323954
13c8699b423
146dd090824
1540647cb6a
hex26751af90

10323341200 has 30 divisors (see below), whose sum is σ = 24801828194. Its totient is φ = 4129336320.

The previous prime is 10323341167. The next prime is 10323341213. The reversal of 10323341200 is 214332301.

10323341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 370485504 + 9952855696 = 19248^2 + 99764^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12903777 + ... + 12904576.

Almost surely, 210323341200 is an apocalyptic number.

10323341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10323341200 is an abundant number, since it is smaller than the sum of its proper divisors (14478486994).

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

10323341200 is a wasteful number, since it uses less digits than its factorization.

10323341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25808371 (or 25808360 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10323341200 its reverse (214332301), we get a palindrome (10537673501).

The spelling of 10323341200 in words is "ten billion, three hundred twenty-three million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25808353 51616706 103233412 129041765 206466824 258083530 412933648 516167060 645208825 1032334120 1290417650 2064668240 2580835300 5161670600 10323341200