Search a number
-
+
13133300221300 = 22527233832129851
BaseRepresentation
bin1011111100011101010110…
…1100011100010101110100
31201111112100021101101102211
42333013111230130111310
53210133444324040200
643533204350543204
72523564264652240
oct277072554342564
951445307341384
1013133300221300
11420388a654a46
1215813a3807b04
137436074bbbcc
14335925927420
1517b9620e3aba
hexbf1d5b1c574

13133300221300 has 144 divisors (see below), whose sum is σ = 34075451031552. Its totient is φ = 4295822256000.

The previous prime is 13133300221273. The next prime is 13133300221357. The reversal of 13133300221300 is 312200333131.

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, 5101375 + ... + 7231225.

It is an arithmetic number, because the mean of its divisors is an integer number (236635076608).

Almost surely, 213133300221300 is an apocalyptic number.

13133300221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133300221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037725515776).

13133300221300 is an abundant number, since it is smaller than the sum of its proper divisors (20942150810252).

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

13133300221300 is a wasteful number, since it uses less digits than its factorization.

13133300221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130278 (or 2130271 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13133300221300 its reverse (312200333131), we get a palindrome (13445500554431).

The spelling of 13133300221300 in words is "thirteen trillion, one hundred thirty-three billion, three hundred million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 383 460 575 644 700 766 805 1150 1532 1610 1915 2300 2681 3220 3830 4025 5362 7660 8050 8809 9575 10724 13405 16100 17618 19150 26810 35236 38300 44045 53620 61663 67025 88090 123326 134050 176180 220225 246652 268100 308315 440450 616630 880900 1233260 1541575 2129851 3083150 4259702 6166300 8519404 10649255 14908957 21298510 29817914 42597020 48986573 53246275 59635828 74544785 97973146 106492550 149089570 195946292 212985100 244932865 298179140 342906011 372723925 489865730 685812022 745447850 815732933 979731460 1224664325 1371624044 1490895700 1631465866 1714530055 2449328650 3262931732 3429060110 4078664665 4898657300 5710130531 6858120220 8157329330 8572650275 11420261062 16314658660 17145300550 18761857459 20393323325 22840522124 28550652655 34290601100 37523714918 40786646650 57101305310 75047429836 81573293300 93809287295 114202610620 131333002213 142753263275 187618574590 262666004426 285506526550 375237149180 469046436475 525332008852 571013053100 656665011065 938092872950 1313330022130 1876185745900 2626660044260 3283325055325 6566650110650 13133300221300