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13022230200 = 23352722331901
BaseRepresentation
bin11000010000010111…
…10111011010111000
31020121112121211120020
430020023313122320
5203132142331300
65552103330440
7640463062500
oct141013673270
936545554506
1013022230200
115582789321
122635150a20
1312c6b86275
148b76b4a00
155133938a0
hex3082f76b8

13022230200 has 288 divisors, whose sum is σ = 47186109360. Its totient is φ = 2962176000.

The previous prime is 13022230181. The next prime is 13022230201. The reversal of 13022230200 is 203222031.

13022230200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13022230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022230201) 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 71 ways as a sum of consecutive naturals, for example, 6849250 + ... + 6851150.

Almost surely, 213022230200 is an apocalyptic number.

13022230200 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 13022230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23593054680).

13022230200 is an abundant number, since it is smaller than the sum of its proper divisors (34163879160).

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

13022230200 is a wasteful number, since it uses less digits than its factorization.

13022230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13022230200 its reverse (203222031), we get a palindrome (13225452231).

The spelling of 13022230200 in words is "thirteen billion, twenty-two million, two hundred thirty thousand, two hundred".