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213230442304 = 261110719714369
BaseRepresentation
bin1100011010010110000…
…1100101011101000000
3202101101101200210101001
43012211201211131000
511443143443123204
6241542352221344
721256022566045
oct3064541453500
9671341623331
10213230442304
1182481031340
12353aa53a854
1317152376569
14a46b2b51cc
15582ec454a4
hex31a5865740

213230442304 has 112 divisors (see below), whose sum is σ = 468307033920. Its totient is φ = 95523061760.

The previous prime is 213230442289. The next prime is 213230442323. The reversal of 213230442304 is 403244032312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14832432 + ... + 14846800.

Almost surely, 2213230442304 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 213230442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234153516960).

213230442304 is an abundant number, since it is smaller than the sum of its proper divisors (255076591616).

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

213230442304 is a wasteful number, since it uses less digits than its factorization.

213230442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14696 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 213230442304 its reverse (403244032312), we get a palindrome (616474474616).

The spelling of 213230442304 in words is "two hundred thirteen billion, two hundred thirty million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 176 197 214 352 394 428 704 788 856 1177 1576 1712 2167 2354 3152 3424 4334 4708 6304 6848 8668 9416 12608 14369 17336 18832 21079 28738 34672 37664 42158 57476 69344 75328 84316 114952 138688 158059 168632 229904 231869 316118 337264 459808 463738 632236 674528 919616 927476 1264472 1349056 1537483 1854952 2528944 2830693 3074966 3709904 5057888 5661386 6149932 7419808 10115776 11322772 12299864 14839616 16912313 22645544 24599728 31137623 33824626 45291088 49199456 62275246 67649252 90582176 98398912 124550492 135298504 181164352 249100984 270597008 302884151 498201968 541194016 605768302 996403936 1082388032 1211536604 1992807872 2423073208 3331725661 4846146416 6663451322 9692292832 13326902644 19384585664 26653805288 53307610576 106615221152 213230442304