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20103010200 = 2332527133137107
BaseRepresentation
bin10010101110001110…
…111001011110011000
31220220000100201200100
4102232032321132120
5312132332311300
613122445135400
71311112524120
oct225616713630
956800321610
1020103010200
118586697119
123a9055a560
131b84b33610
14d89c5bc80
157c9d17700
hex4ae3b9798

20103010200 has 1152 divisors, whose sum is σ = 88914309120. Its totient is φ = 3956428800.

The previous prime is 20103010199. The next prime is 20103010223. The reversal of 20103010200 is 201030102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187878547 + ... + 187878653.

It is an arithmetic number, because the mean of its divisors is an integer number (77182560).

Almost surely, 220103010200 is an apocalyptic number.

20103010200 is a gapful number since it is divisible by the number (20) 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 20103010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457154560).

20103010200 is an abundant number, since it is smaller than the sum of its proper divisors (68811298920).

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

20103010200 is a wasteful number, since it uses less digits than its factorization.

20103010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20103010200 its reverse (201030102), we get a palindrome (20304040302).

20103010200 divided by its reverse (201030102) gives a square (100 = 102).

The spelling of 20103010200 in words is "twenty billion, one hundred three million, ten thousand, two hundred".