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213103616 = 2101118919
BaseRepresentation
bin11001011001110…
…11010000000000
3112211222210012112
430230323100000
5414023303431
633051314452
75165231225
oct1454732000
9484883175
10213103616
11aa3229a0
125b44ba28
13351c471b
142043394c
1513a96c2b
hexcb3b400

213103616 has 44 divisors (see below), whose sum is σ = 464750880. Its totient is φ = 96860160.

The previous prime is 213103613. The next prime is 213103643. The reversal of 213103616 is 616301312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is a junction number, because it is equal to n+sod(n) for n = 213103591 and 213103600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213103613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1805 + ... + 20723.

It is an arithmetic number, because the mean of its divisors is an integer number (10562520).

Almost surely, 2213103616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232375440).

213103616 is an abundant number, since it is smaller than the sum of its proper divisors (251647264).

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

213103616 is a wasteful number, since it uses less digits than its factorization.

213103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18950 (or 18932 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 213103616 is about 14598.0689133871. The cubic root of 213103616 is about 597.3060857753.

Adding to 213103616 its reverse (616301312), we get a palindrome (829404928).

The spelling of 213103616 in words is "two hundred thirteen million, one hundred three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 18919 37838 75676 151352 208109 302704 416218 605408 832436 1210816 1664872 2421632 3329744 4843264 6659488 9686528 13318976 19373056 26637952 53275904 106551808 213103616