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213124223224 = 231110128384731
BaseRepresentation
bin1100011001111100110…
…0011001000011111000
3202101002222211022012001
43012133030121003320
511442434300120344
6241524035430344
721253263002323
oct3063714310370
9671088738161
10213124223224
1182427082380
123537aa553b4
1317136366133
14a45b1457ba
155825762ed4
hex319f3190f8

213124223224 has 64 divisors (see below), whose sum is σ = 441812983680. Its totient is φ = 95575440000.

The previous prime is 213124223209. The next prime is 213124223243. The reversal of 213124223224 is 422322421312.

213124223224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213124223192 and 213124223201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2472939 + ... + 2557669.

It is an arithmetic number, because the mean of its divisors is an integer number (6903327870).

Almost surely, 2213124223224 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 213124223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220906491840).

213124223224 is an abundant number, since it is smaller than the sum of its proper divisors (228688760456).

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

213124223224 is a wasteful number, since it uses less digits than its factorization.

213124223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85132 (or 85128 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 213124223224 its reverse (422322421312), we get a palindrome (635446644536).

The spelling of 213124223224 in words is "two hundred thirteen billion, one hundred twenty-four million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 283 404 566 808 1111 1132 2222 2264 3113 4444 6226 8888 12452 24904 28583 57166 84731 114332 169462 228664 314413 338924 628826 677848 932041 1257652 1864082 2515304 3728164 7456328 8557831 17115662 23978873 34231324 47957746 68462648 94136141 95915492 188272282 191830984 263767603 376544564 527535206 753089128 1055070412 2110140824 2421866173 4843732346 9687464692 19374929384 26640527903 53281055806 106562111612 213124223224