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213201324 = 22327846037
BaseRepresentation
bin11001011010100…
…11000110101100
3112212011202020100
430231103012230
5414034420244
633053351100
75166116130
oct1455230654
9485152210
10213201324
11aa38a346
125b498490
133522a03b
142045b3c0
1513ab5b69
hexcb531ac

213201324 has 36 divisors (see below), whose sum is σ = 615915664. Its totient is φ = 60914592.

The previous prime is 213201293. The next prime is 213201341. The reversal of 213201324 is 423102312.

213201324 is a `hidden beast` number, since 21 + 320 + 1 + 324 = 666.

213201324 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 213201297 and 213201306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422767 + ... + 423270.

Almost surely, 2213201324 is an apocalyptic number.

It is an amenable number.

213201324 is an abundant number, since it is smaller than the sum of its proper divisors (402714340).

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

213201324 is a wasteful number, since it uses less digits than its factorization.

213201324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846054 (or 846049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213201324 is about 14601.4151368968. The cubic root of 213201324 is about 597.3973600996.

Adding to 213201324 its reverse (423102312), we get a palindrome (636303636).

The spelling of 213201324 in words is "two hundred thirteen million, two hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 846037 1692074 2538111 3384148 5076222 5922259 7614333 10152444 11844518 15228666 17766777 23689036 30457332 35533554 53300331 71067108 106600662 213201324