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213124324 = 22721377937
BaseRepresentation
bin11001011010000…
…00010011100100
3112212000211121111
430231000103210
5414024434244
633051554404
75165345500
oct1455002344
9485024544
10213124324
11aa337506
125b45ba04
1335200c8a
142043b300
1513a9ce34
hexcb404e4

213124324 has 36 divisors (see below), whose sum is σ = 437082156. Its totient is φ = 90660864.

The previous prime is 213124319. The next prime is 213124333. The reversal of 213124324 is 423421312.

It can be written as a sum of positive squares in 2 ways, for example, as 181764324 + 31360000 = 13482^2 + 5600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213124295 and 213124304.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22884 + ... + 30820.

It is an arithmetic number, because the mean of its divisors is an integer number (12141171).

Almost surely, 2213124324 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 213124324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218541078).

213124324 is an abundant number, since it is smaller than the sum of its proper divisors (223957832).

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

213124324 is a wasteful number, since it uses less digits than its factorization.

213124324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8083 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 213124324 is about 14598.7781680523. The cubic root of 213124324 is about 597.3254325669.

Adding to 213124324 its reverse (423421312), we get a palindrome (636545636).

The spelling of 213124324 in words is "two hundred thirteen million, one hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 959 1918 3836 6713 7937 13426 15874 26852 31748 55559 111118 222236 388913 777826 1087369 1555652 2174738 4349476 7611583 15223166 30446332 53281081 106562162 213124324