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213311320 = 23519327631
BaseRepresentation
bin11001011011011…
…01111101011000
3112212101100010021
430231231331120
5414101430240
633100000224
75200054615
oct1455557530
9485340107
10213311320
11aa454a52
125b530074
1335268121
142048950c
1513ad854a
hexcb6df58

213311320 has 32 divisors (see below), whose sum is σ = 482454720. Its totient is φ = 84879360.

The previous prime is 213311311. The next prime is 213311321. The reversal of 213311320 is 23113312.

It is a junction number, because it is equal to n+sod(n) for n = 213311294 and 213311303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213311321) 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 7 ways as a sum of consecutive naturals, for example, 6096 + ... + 21535.

It is an arithmetic number, because the mean of its divisors is an integer number (15076710).

Almost surely, 2213311320 is an apocalyptic number.

213311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213311320 is an abundant number, since it is smaller than the sum of its proper divisors (269143400).

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

213311320 is a wasteful number, since it uses less digits than its factorization.

213311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27835 (or 27831 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213311320 is about 14605.1812724115. The cubic root of 213311320 is about 597.5000799472.

Adding to 213311320 its reverse (23113312), we get a palindrome (236424632).

The spelling of 213311320 in words is "two hundred thirteen million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 193 386 772 965 1544 1930 3860 7720 27631 55262 110524 138155 221048 276310 552620 1105240 5332783 10665566 21331132 26663915 42662264 53327830 106655660 213311320