Search a number
-
+
30332302211000 = 2353434611530157
BaseRepresentation
bin1101110010110010010100…
…00110010011011110111000
310222101201222021221010101102
412321121022012103132320
512433431023331223000
6144302244532510532
76250302503521046
oct671311206233670
9128351867833342
1030332302211000
1197349479225a9
12349a72a77b448
1313c04295a057a
1476c13c5bd396
1537902d26d3d5
hex1b964a1937b8

30332302211000 has 128 divisors (see below), whose sum is σ = 72785821268160. Its totient is φ = 11825045568000.

The previous prime is 30332302210993. The next prime is 30332302211051. The reversal of 30332302211000 is 11220323303.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19057922 + ... + 20588078.

Almost surely, 230332302211000 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 30332302211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36392910634080).

30332302211000 is an abundant number, since it is smaller than the sum of its proper divisors (42453519057160).

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

30332302211000 is a wasteful number, since it uses less digits than its factorization.

30332302211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530682 (or 1530668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30332302211000 its reverse (11220323303), we get a palindrome (30343522534303).

The spelling of 30332302211000 in words is "thirty trillion, three hundred thirty-two billion, three hundred two million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 461 500 860 922 1000 1075 1720 1844 2150 2305 3688 4300 4610 5375 8600 9220 10750 11525 18440 19823 21500 23050 39646 43000 46100 57625 79292 92200 99115 115250 158584 198230 230500 396460 461000 495575 792920 991150 1530157 1982300 2477875 3060314 3964600 4955750 6120628 7650785 9911500 12241256 15301570 19823000 30603140 38253925 61206280 65796751 76507850 131593502 153015700 191269625 263187004 306031400 328983755 382539250 526374008 657967510 705402377 765078500 1315935020 1410804754 1530157000 1644918775 2631870040 2821609508 3289837550 3527011885 5643219016 6579675100 7054023770 8224593875 13159350200 14108047540 16449187750 17635059425 28216095080 30332302211 32898375500 35270118850 60664604422 65796751000 70540237700 88175297125 121329208844 141080475400 151661511055 176350594250 242658417688 303323022110 352701188500 606646044220 705402377000 758307555275 1213292088440 1516615110550 3033230221100 3791537776375 6066460442200 7583075552750 15166151105500 30332302211000