Search a number
-
+
30101310030 = 235112322717471
BaseRepresentation
bin11100000010001011…
…011000101001001110
32212200210220222121110
4130002023120221032
5443121413410110
621454531312450
72113636625241
oct340213305116
985623828543
1030101310030
111184744a830
125a00a4b726
132ab9376c6c
141657a9b258
15bb298ba20
hex7022d8a4e

30101310030 has 128 divisors (see below), whose sum is σ = 82604261376. Its totient is φ = 6948867200.

The previous prime is 30101309989. The next prime is 30101310047. The reversal of 30101310030 is 3001310103.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30101309988 and 30101310015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1714195 + ... + 1731665.

It is an arithmetic number, because the mean of its divisors is an integer number (645345792).

Almost surely, 230101310030 is an apocalyptic number.

30101310030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30101310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41302130688).

30101310030 is an abundant number, since it is smaller than the sum of its proper divisors (52502951346).

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

30101310030 is a wasteful number, since it uses less digits than its factorization.

30101310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17742.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 30101310030 its reverse (3001310103), we get a palindrome (33102620133).

The spelling of 30101310030 in words is "thirty billion, one hundred one million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 227 230 253 330 345 454 506 681 690 759 1135 1265 1362 1518 2270 2497 2530 3405 3795 4994 5221 6810 7491 7590 10442 12485 14982 15663 17471 24970 26105 31326 34942 37455 52210 52413 57431 74910 78315 87355 104826 114862 156630 172293 174710 192181 262065 287155 344586 384362 401833 524130 574310 576543 803666 861465 960905 1153086 1205499 1722930 1921810 2009165 2410998 2882715 3965917 4018330 4420163 5765430 6027495 7931834 8840326 11897751 12054990 13260489 19829585 22100815 23795502 26520978 39659170 43625087 44201630 59488755 66302445 87250174 91216091 118977510 130875261 132604890 182432182 218125435 261750522 273648273 436250870 456080455 547296546 654376305 912160910 1003377001 1308752610 1368241365 2006754002 2736482730 3010131003 5016885005 6020262006 10033770010 15050655015 30101310030