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213221311424 = 26112713111637
BaseRepresentation
bin1100011010010011111…
…0110000001111000000
3202101100202111220011022
43012210332300033000
511443134123431144
6241541424405012
721255552146312
oct3064476601700
9671322456138
10213221311424
1182476965160
12353a7476768
13171504ca484
14a469db97b2
15582e03ecee
hex31a4fb03c0

213221311424 has 56 divisors (see below), whose sum is σ = 461749950768. Its totient is φ = 96882186240.

The previous prime is 213221311361. The next prime is 213221311441. The reversal of 213221311424 is 424113122312.

It is a happy number.

213221311424 is digitally balanced in base 3, 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 = 213221311393 and 213221311402.

It is a congruent number.

It is an unprimeable number.

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, 1854134 + ... + 1965770.

Almost surely, 2213221311424 is an apocalyptic number.

It is an amenable number.

213221311424 is an abundant number, since it is smaller than the sum of its proper divisors (248528639344).

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

213221311424 is a wasteful number, since it uses less digits than its factorization.

213221311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114373 (or 114363 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 213221311424 its reverse (424113122312), we get a palindrome (637334433736).

The spelling of 213221311424 in words is "two hundred thirteen billion, two hundred twenty-one million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 2713 5426 10852 21704 29843 43408 59686 86816 111637 119372 173632 223274 238744 446548 477488 893096 954976 1228007 1786192 1909952 2456014 3572384 4912028 7144768 9824056 19648112 39296224 78592448 302871181 605742362 1211484724 2422969448 3331582991 4845938896 6663165982 9691877792 13326331964 19383755584 26652663928 53305327856 106610655712 213221311424