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2103430320 = 2432529131769
BaseRepresentation
bin111110101011111…
…1100110010110000
312102120222022221200
41331113330302300
513301434232240
6544415451200
7103060601625
oct17527746260
95376868850
102103430320
1198a371372
124a8526b00
13276a1c334
1415d50034c
15c49e3930
hex7d5fccb0

2103430320 has 240 divisors, whose sum is σ = 7372965600. Its totient is φ = 536739840.

The previous prime is 2103430271. The next prime is 2103430333. The reversal of 2103430320 is 230343012.

2103430320 is a `hidden beast` number, since 2 + 1 + 0 + 343 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21034303202 = 8848838222190604800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2103430293 and 2103430302.

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 47 ways as a sum of consecutive naturals, for example, 2734896 + ... + 2735664.

It is an arithmetic number, because the mean of its divisors is an integer number (30720690).

Almost surely, 22103430320 is an apocalyptic number.

2103430320 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 2103430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686482800).

2103430320 is an abundant number, since it is smaller than the sum of its proper divisors (5269535280).

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

2103430320 is a wasteful number, since it uses less digits than its factorization.

2103430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2103430320 is about 45863.1695372223. The cubic root of 2103430320 is about 1281.2760549292.

Adding to 2103430320 its reverse (230343012), we get a palindrome (2333773332).

The spelling of 2103430320 in words is "two billion, one hundred three million, four hundred thirty thousand, three hundred twenty".