Search a number
-
+
213021413430 = 2357412603443
BaseRepresentation
bin1100011001100100010…
…0001101000000110110
3202100211211101000122220
43012121010031000312
511442231440212210
6241505524103210
721250604065320
oct3063104150066
9670754330586
10213021413430
1182384041901
1235350534b06
131711ac7a737
14a44b622610
15581b705c70
hex319910d036

213021413430 has 96 divisors (see below), whose sum is σ = 598886790912. Its totient is φ = 47502954240.

The previous prime is 213021413401. The next prime is 213021413461. The reversal of 213021413430 is 34314120312.

It is a happy number.

213021413430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213021413430.

It is a congruent number.

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, 51289 + ... + 654731.

It is an arithmetic number, because the mean of its divisors is an integer number (6238404072).

Almost surely, 2213021413430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213021413430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299443395456).

213021413430 is an abundant number, since it is smaller than the sum of its proper divisors (385865377482).

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

213021413430 is a wasteful number, since it uses less digits than its factorization.

213021413430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603542 (or 603501 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213021413430 its reverse (34314120312), we get a palindrome (247335533742).

The spelling of 213021413430 in words is "two hundred thirteen billion, twenty-one million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1681 1722 2870 3362 4305 5043 8405 8610 10086 11767 16810 23534 25215 35301 50430 58835 70602 117670 176505 353010 603443 1206886 1810329 3017215 3620658 4224101 6034430 8448202 9051645 12672303 18103290 21120505 24741163 25344606 42241010 49482326 63361515 74223489 123705815 126723030 148446978 173188141 247411630 346376282 371117445 519564423 742234890 865940705 1014387683 1039128846 1731881410 2028775366 2597822115 3043163049 5071938415 5195644230 6086326098 7100713781 10143876830 14201427562 15215815245 21302141343 30431630490 35503568905 42604282686 71007137810 106510706715 213021413430