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5013106200 = 23345217109167
BaseRepresentation
bin1001010101100110…
…11110111000011000
3110221101001011220000
410222303132320120
540231323344300
62145240133000
7235141461654
oct45263367030
913841034800
105013106200
112142849983
12b7aa67160
1361b79a23b
14357b13a64
151e5194c00
hex12acdee18

5013106200 has 480 divisors, whose sum is σ = 18715989600. Its totient is φ = 1239183360.

The previous prime is 5013106181. The next prime is 5013106201. The reversal of 5013106200 is 26013105.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013106201) 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 119 ways as a sum of consecutive naturals, for example, 30018517 + ... + 30018683.

It is an arithmetic number, because the mean of its divisors is an integer number (38991645).

Almost surely, 25013106200 is an apocalyptic number.

5013106200 is a gapful number since it is divisible by the number (50) 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 5013106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357994800).

5013106200 is an abundant number, since it is smaller than the sum of its proper divisors (13702883400).

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

5013106200 is a wasteful number, since it uses less digits than its factorization.

5013106200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5013106200 is about 70803.2922963332. The cubic root of 5013106200 is about 1711.4687289055.

Adding to 5013106200 its reverse (26013105), we get a palindrome (5039119305).

The spelling of 5013106200 in words is "five billion, thirteen million, one hundred six thousand, two hundred".