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213143322330 = 232517420133161
BaseRepresentation
bin1100011010000001010…
…1001111111011011010
3202101011022202122020100
43012200111033323122
511443004142303310
6241530001040230
721253614230001
oct3064025177332
9671138678210
10213143322330
1182436937864
1235385326076
131713a2c2493
14a45d8b7c38
155827286ec0
hex31a054feda

213143322330 has 96 divisors (see below), whose sum is σ = 586928401488. Its totient is φ = 53480448000.

The previous prime is 213143322323. The next prime is 213143322367. The reversal of 213143322330 is 33223341312.

213143322330 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 4 + 3 + 322 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 125025180921 + 88118141409 = 353589^2 + 296847^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213143322294 and 213143322303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6410950 + ... + 6444110.

Almost surely, 2213143322330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213143322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293464200744).

213143322330 is an abundant number, since it is smaller than the sum of its proper divisors (373785079158).

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

213143322330 is a wasteful number, since it uses less digits than its factorization.

213143322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37392 (or 37389 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213143322330 its reverse (33223341312), we get a palindrome (246366663642).

The spelling of 213143322330 in words is "two hundred thirteen billion, one hundred forty-three million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 4201 8402 12603 21005 25206 33161 37809 42010 63015 66322 71417 75618 99483 126030 142834 165805 189045 198966 214251 298449 331610 357085 378090 428502 497415 563737 596898 642753 714170 994830 1071255 1127474 1285506 1492245 1691211 2142510 2818685 2984490 3213765 3382422 5073633 5637370 6427530 8456055 10147266 16912110 25368165 50736330 139309361 278618722 417928083 696546805 835856166 1253784249 1393093610 2089640415 2368259137 2507568498 4179280830 4736518274 6268921245 7104777411 11841295685 12537842490 14209554822 21314332233 23682591370 35523887055 42628664466 71047774110 106571661165 213143322330